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Finding the Third Proportional to 414,988 and 905,360

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Solution

The third proportional to 414,988 and 905,360 is: 1,975,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,988 : 905,360 = 905,360 : x
  2. Step 2: Convert to fraction form
    414,988/905,360 = 905,360/x
  3. Step 3: Cross multiply
    414,988x = 905,360 × 905,360
  4. Step 4: Simplify right side
    414,988x = 819,676,729,600
  5. Step 5: Solve for x
    x = 819,676,729,600/414,988
  6. Step 6: Final answer
    x = 1,975,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.