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Finding the Third Proportional to 80,946 and 120,588.75

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Solution

The third proportional to 80,946 and 120,588.75 is: 179,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 120,588.75 = 120,588.75 : x
  2. Step 2: Convert to fraction form
    80,946/120,588.75 = 120,588.75/x
  3. Step 3: Cross multiply
    80,946x = 120,588.75 × 120,588.75
  4. Step 4: Simplify right side
    80,946x = 14,541,646,626.56
  5. Step 5: Solve for x
    x = 14,541,646,626.56/80,946
  6. Step 6: Final answer
    x = 179,646.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.