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Finding the Third Proportional to 80,469 and 173,209

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Solution

The third proportional to 80,469 and 173,209 is: 372,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,469 : 173,209 = 173,209 : x
  2. Step 2: Convert to fraction form
    80,469/173,209 = 173,209/x
  3. Step 3: Cross multiply
    80,469x = 173,209 × 173,209
  4. Step 4: Simplify right side
    80,469x = 30,001,357,681
  5. Step 5: Solve for x
    x = 30,001,357,681/80,469
  6. Step 6: Final answer
    x = 372,831.25

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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.