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Finding the Third Proportional to 66,170.25 and 142,911

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Solution

The third proportional to 66,170.25 and 142,911 is: 308,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,170.25 : 142,911 = 142,911 : x
  2. Step 2: Convert to fraction form
    66,170.25/142,911 = 142,911/x
  3. Step 3: Cross multiply
    66,170.25x = 142,911 × 142,911
  4. Step 4: Simplify right side
    66,170.25x = 20,423,553,921
  5. Step 5: Solve for x
    x = 20,423,553,921/66,170.25
  6. Step 6: Final answer
    x = 308,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.