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Finding the Third Proportional to 247,680 and 359,424

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Solution

The third proportional to 247,680 and 359,424 is: 521,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,680 : 359,424 = 359,424 : x
  2. Step 2: Convert to fraction form
    247,680/359,424 = 359,424/x
  3. Step 3: Cross multiply
    247,680x = 359,424 × 359,424
  4. Step 4: Simplify right side
    247,680x = 129,185,611,776
  5. Step 5: Solve for x
    x = 129,185,611,776/247,680
  6. Step 6: Final answer
    x = 521,582.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.