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Finding the Third Proportional to 640,948 and 928,374

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Solution

The third proportional to 640,948 and 928,374 is: 1,344,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,948 : 928,374 = 928,374 : x
  2. Step 2: Convert to fraction form
    640,948/928,374 = 928,374/x
  3. Step 3: Cross multiply
    640,948x = 928,374 × 928,374
  4. Step 4: Simplify right side
    640,948x = 861,878,283,876
  5. Step 5: Solve for x
    x = 861,878,283,876/640,948
  6. Step 6: Final answer
    x = 1,344,692.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.