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Finding the Third Proportional to 92,800 and 140,496

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Solution

The third proportional to 92,800 and 140,496 is: 212,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,800 : 140,496 = 140,496 : x
  2. Step 2: Convert to fraction form
    92,800/140,496 = 140,496/x
  3. Step 3: Cross multiply
    92,800x = 140,496 × 140,496
  4. Step 4: Simplify right side
    92,800x = 19,739,126,016
  5. Step 5: Solve for x
    x = 19,739,126,016/92,800
  6. Step 6: Final answer
    x = 212,706.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.