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Finding the Third Proportional to 80,946 and 122,877

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Solution

The third proportional to 80,946 and 122,877 is: 186,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 122,877 = 122,877 : x
  2. Step 2: Convert to fraction form
    80,946/122,877 = 122,877/x
  3. Step 3: Cross multiply
    80,946x = 122,877 × 122,877
  4. Step 4: Simplify right side
    80,946x = 15,098,757,129
  5. Step 5: Solve for x
    x = 15,098,757,129/80,946
  6. Step 6: Final answer
    x = 186,528.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.