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Finding the Third Proportional to 159,540 and 232,386

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Solution

The third proportional to 159,540 and 232,386 is: 338,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,540 : 232,386 = 232,386 : x
  2. Step 2: Convert to fraction form
    159,540/232,386 = 232,386/x
  3. Step 3: Cross multiply
    159,540x = 232,386 × 232,386
  4. Step 4: Simplify right side
    159,540x = 54,003,252,996
  5. Step 5: Solve for x
    x = 54,003,252,996/159,540
  6. Step 6: Final answer
    x = 338,493.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.