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Finding the Third Proportional to 66,629 and 143,139

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Solution

The third proportional to 66,629 and 143,139 is: 307,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,629 : 143,139 = 143,139 : x
  2. Step 2: Convert to fraction form
    66,629/143,139 = 143,139/x
  3. Step 3: Cross multiply
    66,629x = 143,139 × 143,139
  4. Step 4: Simplify right side
    66,629x = 20,488,773,321
  5. Step 5: Solve for x
    x = 20,488,773,321/66,629
  6. Step 6: Final answer
    x = 307,505.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.