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Finding the Third Proportional to 392,648 and 611,436

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Solution

The third proportional to 392,648 and 611,436 is: 952,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,648 : 611,436 = 611,436 : x
  2. Step 2: Convert to fraction form
    392,648/611,436 = 611,436/x
  3. Step 3: Cross multiply
    392,648x = 611,436 × 611,436
  4. Step 4: Simplify right side
    392,648x = 373,853,982,096
  5. Step 5: Solve for x
    x = 373,853,982,096/392,648
  6. Step 6: Final answer
    x = 952,135.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.