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Finding the Third Proportional to 66,898 and 103,287

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Solution

The third proportional to 66,898 and 103,287 is: 159,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898 : 103,287 = 103,287 : x
  2. Step 2: Convert to fraction form
    66,898/103,287 = 103,287/x
  3. Step 3: Cross multiply
    66,898x = 103,287 × 103,287
  4. Step 4: Simplify right side
    66,898x = 10,668,204,369
  5. Step 5: Solve for x
    x = 10,668,204,369/66,898
  6. Step 6: Final answer
    x = 159,469.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.