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Finding the Third Proportional to 415,782 and 627,431

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Solution

The third proportional to 415,782 and 627,431 is: 946,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,782 : 627,431 = 627,431 : x
  2. Step 2: Convert to fraction form
    415,782/627,431 = 627,431/x
  3. Step 3: Cross multiply
    415,782x = 627,431 × 627,431
  4. Step 4: Simplify right side
    415,782x = 393,669,659,761
  5. Step 5: Solve for x
    x = 393,669,659,761/415,782
  6. Step 6: Final answer
    x = 946,817.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.