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Finding the Third Proportional to 66,142 and 142,651

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Solution

The third proportional to 66,142 and 142,651 is: 307,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142 : 142,651 = 142,651 : x
  2. Step 2: Convert to fraction form
    66,142/142,651 = 142,651/x
  3. Step 3: Cross multiply
    66,142x = 142,651 × 142,651
  4. Step 4: Simplify right side
    66,142x = 20,349,307,801
  5. Step 5: Solve for x
    x = 20,349,307,801/66,142
  6. Step 6: Final answer
    x = 307,660.91

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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.