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Finding the Third Proportional to 392,541 and 622,581

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Solution

The third proportional to 392,541 and 622,581 is: 987,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,541 : 622,581 = 622,581 : x
  2. Step 2: Convert to fraction form
    392,541/622,581 = 622,581/x
  3. Step 3: Cross multiply
    392,541x = 622,581 × 622,581
  4. Step 4: Simplify right side
    392,541x = 387,607,101,561
  5. Step 5: Solve for x
    x = 387,607,101,561/392,541
  6. Step 6: Final answer
    x = 987,430.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.