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Finding the Third Proportional to 247,682 and 359,427

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Solution

The third proportional to 247,682 and 359,427 is: 521,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,682 : 359,427 = 359,427 : x
  2. Step 2: Convert to fraction form
    247,682/359,427 = 359,427/x
  3. Step 3: Cross multiply
    247,682x = 359,427 × 359,427
  4. Step 4: Simplify right side
    247,682x = 129,187,768,329
  5. Step 5: Solve for x
    x = 129,187,768,329/247,682
  6. Step 6: Final answer
    x = 521,587.23

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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.