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Finding the Third Proportional to 80,637.75 and 128,107

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Solution

The third proportional to 80,637.75 and 128,107 is: 203,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,637.75 : 128,107 = 128,107 : x
  2. Step 2: Convert to fraction form
    80,637.75/128,107 = 128,107/x
  3. Step 3: Cross multiply
    80,637.75x = 128,107 × 128,107
  4. Step 4: Simplify right side
    80,637.75x = 16,411,403,449
  5. Step 5: Solve for x
    x = 16,411,403,449/80,637.75
  6. Step 6: Final answer
    x = 203,520.11

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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.