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Finding the Third Proportional to 71,465 and 161,139

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Solution

The third proportional to 71,465 and 161,139 is: 363,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,465 : 161,139 = 161,139 : x
  2. Step 2: Convert to fraction form
    71,465/161,139 = 161,139/x
  3. Step 3: Cross multiply
    71,465x = 161,139 × 161,139
  4. Step 4: Simplify right side
    71,465x = 25,965,777,321
  5. Step 5: Solve for x
    x = 25,965,777,321/71,465
  6. Step 6: Final answer
    x = 363,335.58

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.