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Finding the Third Proportional to 64,518 and 136,864

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Solution

The third proportional to 64,518 and 136,864 is: 290,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,518 : 136,864 = 136,864 : x
  2. Step 2: Convert to fraction form
    64,518/136,864 = 136,864/x
  3. Step 3: Cross multiply
    64,518x = 136,864 × 136,864
  4. Step 4: Simplify right side
    64,518x = 18,731,754,496
  5. Step 5: Solve for x
    x = 18,731,754,496/64,518
  6. Step 6: Final answer
    x = 290,333.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.