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Finding the Third Proportional to 80,352 and 171,816

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Solution

The third proportional to 80,352 and 171,816 is: 367,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352 : 171,816 = 171,816 : x
  2. Step 2: Convert to fraction form
    80,352/171,816 = 171,816/x
  3. Step 3: Cross multiply
    80,352x = 171,816 × 171,816
  4. Step 4: Simplify right side
    80,352x = 29,520,737,856
  5. Step 5: Solve for x
    x = 29,520,737,856/80,352
  6. Step 6: Final answer
    x = 367,392.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.