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Finding the Third Proportional to 317,033,154.75 and 642,980,561.25

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Solution

The third proportional to 317,033,154.75 and 642,980,561.25 is: 1,304,040,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,033,154.75 : 642,980,561.25 = 642,980,561.25 : x
  2. Step 2: Convert to fraction form
    317,033,154.75/642,980,561.25 = 642,980,561.25/x
  3. Step 3: Cross multiply
    317,033,154.75x = 642,980,561.25 × 642,980,561.25
  4. Step 4: Simplify right side
    317,033,154.75x = 413,424,002,145,364,992
  5. Step 5: Solve for x
    x = 413,424,002,145,364,992/317,033,154.75
  6. Step 6: Final answer
    x = 1,304,040,274.50

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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.