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Finding the Third Proportional to 80,169 and 169,389

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Solution

The third proportional to 80,169 and 169,389 is: 357,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,169 : 169,389 = 169,389 : x
  2. Step 2: Convert to fraction form
    80,169/169,389 = 169,389/x
  3. Step 3: Cross multiply
    80,169x = 169,389 × 169,389
  4. Step 4: Simplify right side
    80,169x = 28,692,633,321
  5. Step 5: Solve for x
    x = 28,692,633,321/80,169
  6. Step 6: Final answer
    x = 357,901.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.