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Finding the Third Proportional to 420,936 and 748,372

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Solution

The third proportional to 420,936 and 748,372 is: 1,330,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,936 : 748,372 = 748,372 : x
  2. Step 2: Convert to fraction form
    420,936/748,372 = 748,372/x
  3. Step 3: Cross multiply
    420,936x = 748,372 × 748,372
  4. Step 4: Simplify right side
    420,936x = 560,060,650,384
  5. Step 5: Solve for x
    x = 560,060,650,384/420,936
  6. Step 6: Final answer
    x = 1,330,512.60

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.