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Finding the Third Proportional to 55,388 and 121,864

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Solution

The third proportional to 55,388 and 121,864 is: 268,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,388 : 121,864 = 121,864 : x
  2. Step 2: Convert to fraction form
    55,388/121,864 = 121,864/x
  3. Step 3: Cross multiply
    55,388x = 121,864 × 121,864
  4. Step 4: Simplify right side
    55,388x = 14,850,834,496
  5. Step 5: Solve for x
    x = 14,850,834,496/55,388
  6. Step 6: Final answer
    x = 268,123.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.