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Finding the Third Proportional to 128,864 and 181,468

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Solution

The third proportional to 128,864 and 181,468 is: 255,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,864 : 181,468 = 181,468 : x
  2. Step 2: Convert to fraction form
    128,864/181,468 = 181,468/x
  3. Step 3: Cross multiply
    128,864x = 181,468 × 181,468
  4. Step 4: Simplify right side
    128,864x = 32,930,635,024
  5. Step 5: Solve for x
    x = 32,930,635,024/128,864
  6. Step 6: Final answer
    x = 255,545.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.