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Finding the Third Proportional to 80,543 and 181,972

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Solution

The third proportional to 80,543 and 181,972 is: 411,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,543 : 181,972 = 181,972 : x
  2. Step 2: Convert to fraction form
    80,543/181,972 = 181,972/x
  3. Step 3: Cross multiply
    80,543x = 181,972 × 181,972
  4. Step 4: Simplify right side
    80,543x = 33,113,808,784
  5. Step 5: Solve for x
    x = 33,113,808,784/80,543
  6. Step 6: Final answer
    x = 411,132.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.