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Finding the Third Proportional to 128,864 and 261,352

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Solution

The third proportional to 128,864 and 261,352 is: 530,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,864 : 261,352 = 261,352 : x
  2. Step 2: Convert to fraction form
    128,864/261,352 = 261,352/x
  3. Step 3: Cross multiply
    128,864x = 261,352 × 261,352
  4. Step 4: Simplify right side
    128,864x = 68,304,867,904
  5. Step 5: Solve for x
    x = 68,304,867,904/128,864
  6. Step 6: Final answer
    x = 530,053.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.