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Finding the Third Proportional to 247,842 and 393,908

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Solution

The third proportional to 247,842 and 393,908 is: 626,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,842 : 393,908 = 393,908 : x
  2. Step 2: Convert to fraction form
    247,842/393,908 = 393,908/x
  3. Step 3: Cross multiply
    247,842x = 393,908 × 393,908
  4. Step 4: Simplify right side
    247,842x = 155,163,512,464
  5. Step 5: Solve for x
    x = 155,163,512,464/247,842
  6. Step 6: Final answer
    x = 626,058.18

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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.