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Finding the Third Proportional to 64,910 and 100,231

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Solution

The third proportional to 64,910 and 100,231 is: 154,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,910 : 100,231 = 100,231 : x
  2. Step 2: Convert to fraction form
    64,910/100,231 = 100,231/x
  3. Step 3: Cross multiply
    64,910x = 100,231 × 100,231
  4. Step 4: Simplify right side
    64,910x = 10,046,253,361
  5. Step 5: Solve for x
    x = 10,046,253,361/64,910
  6. Step 6: Final answer
    x = 154,772.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.