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Finding the Third Proportional to 68,000 and 99,900

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Solution

The third proportional to 68,000 and 99,900 is: 146,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000 : 99,900 = 99,900 : x
  2. Step 2: Convert to fraction form
    68,000/99,900 = 99,900/x
  3. Step 3: Cross multiply
    68,000x = 99,900 × 99,900
  4. Step 4: Simplify right side
    68,000x = 9,980,010,000
  5. Step 5: Solve for x
    x = 9,980,010,000/68,000
  6. Step 6: Final answer
    x = 146,764.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.