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Finding the Third Proportional to 247,839.50 and 393,904

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Solution

The third proportional to 247,839.50 and 393,904 is: 626,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,839.50 : 393,904 = 393,904 : x
  2. Step 2: Convert to fraction form
    247,839.50/393,904 = 393,904/x
  3. Step 3: Cross multiply
    247,839.50x = 393,904 × 393,904
  4. Step 4: Simplify right side
    247,839.50x = 155,160,361,216
  5. Step 5: Solve for x
    x = 155,160,361,216/247,839.50
  6. Step 6: Final answer
    x = 626,051.78

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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.