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Finding the Third Proportional to 80,656 and 128,116

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Solution

The third proportional to 80,656 and 128,116 is: 203,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,656 : 128,116 = 128,116 : x
  2. Step 2: Convert to fraction form
    80,656/128,116 = 128,116/x
  3. Step 3: Cross multiply
    80,656x = 128,116 × 128,116
  4. Step 4: Simplify right side
    80,656x = 16,413,709,456
  5. Step 5: Solve for x
    x = 16,413,709,456/80,656
  6. Step 6: Final answer
    x = 203,502.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.