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Finding the Third Proportional to 66,158 and 99,251

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Solution

The third proportional to 66,158 and 99,251 is: 148,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,158 : 99,251 = 99,251 : x
  2. Step 2: Convert to fraction form
    66,158/99,251 = 99,251/x
  3. Step 3: Cross multiply
    66,158x = 99,251 × 99,251
  4. Step 4: Simplify right side
    66,158x = 9,850,761,001
  5. Step 5: Solve for x
    x = 9,850,761,001/66,158
  6. Step 6: Final answer
    x = 148,897.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.