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Finding the Third Proportional to 56,639 and 132,282

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Solution

The third proportional to 56,639 and 132,282 is: 308,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,639 : 132,282 = 132,282 : x
  2. Step 2: Convert to fraction form
    56,639/132,282 = 132,282/x
  3. Step 3: Cross multiply
    56,639x = 132,282 × 132,282
  4. Step 4: Simplify right side
    56,639x = 17,498,527,524
  5. Step 5: Solve for x
    x = 17,498,527,524/56,639
  6. Step 6: Final answer
    x = 308,948.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.