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Finding the Third Proportional to 392,643 and 622,743

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Solution

The third proportional to 392,643 and 622,743 is: 987,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,643 : 622,743 = 622,743 : x
  2. Step 2: Convert to fraction form
    392,643/622,743 = 622,743/x
  3. Step 3: Cross multiply
    392,643x = 622,743 × 622,743
  4. Step 4: Simplify right side
    392,643x = 387,808,844,049
  5. Step 5: Solve for x
    x = 387,808,844,049/392,643
  6. Step 6: Final answer
    x = 987,688.16

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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.