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Finding the Third Proportional to 423,791 and 639,627

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Solution

The third proportional to 423,791 and 639,627 is: 965,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,791 : 639,627 = 639,627 : x
  2. Step 2: Convert to fraction form
    423,791/639,627 = 639,627/x
  3. Step 3: Cross multiply
    423,791x = 639,627 × 639,627
  4. Step 4: Simplify right side
    423,791x = 409,122,699,129
  5. Step 5: Solve for x
    x = 409,122,699,129/423,791
  6. Step 6: Final answer
    x = 965,387.89

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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.