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Finding the Third Proportional to 178,366.38 and 261,636.56

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Solution

The third proportional to 178,366.38 and 261,636.56 is: 383,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,366.38 : 261,636.56 = 261,636.56 : x
  2. Step 2: Convert to fraction form
    178,366.38/261,636.56 = 261,636.56/x
  3. Step 3: Cross multiply
    178,366.38x = 261,636.56 × 261,636.56
  4. Step 4: Simplify right side
    178,366.38x = 68,453,690,836.82
  5. Step 5: Solve for x
    x = 68,453,690,836.82/178,366.38
  6. Step 6: Final answer
    x = 383,781.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.