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Finding the Third Proportional to 72,930 and 161,169

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Solution

The third proportional to 72,930 and 161,169 is: 356,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930 : 161,169 = 161,169 : x
  2. Step 2: Convert to fraction form
    72,930/161,169 = 161,169/x
  3. Step 3: Cross multiply
    72,930x = 161,169 × 161,169
  4. Step 4: Simplify right side
    72,930x = 25,975,446,561
  5. Step 5: Solve for x
    x = 25,975,446,561/72,930
  6. Step 6: Final answer
    x = 356,169.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.