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Finding the Third Proportional to 585,015,342,480 and 1,186,479,984,942

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Solution

The third proportional to 585,015,342,480 and 1,186,479,984,942 is: 2,406,321,086,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,015,342,480 : 1,186,479,984,942 = 1,186,479,984,942 : x
  2. Step 2: Convert to fraction form
    585,015,342,480/1,186,479,984,942 = 1,186,479,984,942/x
  3. Step 3: Cross multiply
    585,015,342,480x = 1,186,479,984,942 × 1,186,479,984,942
  4. Step 4: Simplify right side
    585,015,342,480x = 1,407,734,754,667,968,568,754,176
  5. Step 5: Solve for x
    x = 1,407,734,754,667,968,568,754,176/585,015,342,480
  6. Step 6: Final answer
    x = 2,406,321,086,726.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.