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Finding the Third Proportional to 418,128 and 631,080

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Solution

The third proportional to 418,128 and 631,080 is: 952,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,128 : 631,080 = 631,080 : x
  2. Step 2: Convert to fraction form
    418,128/631,080 = 631,080/x
  3. Step 3: Cross multiply
    418,128x = 631,080 × 631,080
  4. Step 4: Simplify right side
    418,128x = 398,261,966,400
  5. Step 5: Solve for x
    x = 398,261,966,400/418,128
  6. Step 6: Final answer
    x = 952,488.15

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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.