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Finding the Third Proportional to 66,530 and 99,787

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Solution

The third proportional to 66,530 and 99,787 is: 149,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,530 : 99,787 = 99,787 : x
  2. Step 2: Convert to fraction form
    66,530/99,787 = 99,787/x
  3. Step 3: Cross multiply
    66,530x = 99,787 × 99,787
  4. Step 4: Simplify right side
    66,530x = 9,957,445,369
  5. Step 5: Solve for x
    x = 9,957,445,369/66,530
  6. Step 6: Final answer
    x = 149,668.50

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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.