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Finding the Third Proportional to 415,320 and 631,188

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Solution

The third proportional to 415,320 and 631,188 is: 959,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,320 : 631,188 = 631,188 : x
  2. Step 2: Convert to fraction form
    415,320/631,188 = 631,188/x
  3. Step 3: Cross multiply
    415,320x = 631,188 × 631,188
  4. Step 4: Simplify right side
    415,320x = 398,398,291,344
  5. Step 5: Solve for x
    x = 398,398,291,344/415,320
  6. Step 6: Final answer
    x = 959,256.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.