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Finding the Third Proportional to 157,843.69 and 205,855.17

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Solution

The third proportional to 157,843.69 and 205,855.17 is: 268,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,843.69 : 205,855.17 = 205,855.17 : x
  2. Step 2: Convert to fraction form
    157,843.69/205,855.17 = 205,855.17/x
  3. Step 3: Cross multiply
    157,843.69x = 205,855.17 × 205,855.17
  4. Step 4: Simplify right side
    157,843.69x = 42,376,351,787.69
  5. Step 5: Solve for x
    x = 42,376,351,787.69/157,843.69
  6. Step 6: Final answer
    x = 268,470.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.