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Finding the Third Proportional to 461,002 and 621,464

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Solution

The third proportional to 461,002 and 621,464 is: 837,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,002 : 621,464 = 621,464 : x
  2. Step 2: Convert to fraction form
    461,002/621,464 = 621,464/x
  3. Step 3: Cross multiply
    461,002x = 621,464 × 621,464
  4. Step 4: Simplify right side
    461,002x = 386,217,503,296
  5. Step 5: Solve for x
    x = 386,217,503,296/461,002
  6. Step 6: Final answer
    x = 837,778.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.