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Finding the Third Proportional to 66,870 and 99,199

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Solution

The third proportional to 66,870 and 99,199 is: 147,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,870 : 99,199 = 99,199 : x
  2. Step 2: Convert to fraction form
    66,870/99,199 = 99,199/x
  3. Step 3: Cross multiply
    66,870x = 99,199 × 99,199
  4. Step 4: Simplify right side
    66,870x = 9,840,441,601
  5. Step 5: Solve for x
    x = 9,840,441,601/66,870
  6. Step 6: Final answer
    x = 147,157.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.