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Finding the Third Proportional to 80,109.84 and 124,538.77

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Solution

The third proportional to 80,109.84 and 124,538.77 is: 193,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,109.84 : 124,538.77 = 124,538.77 : x
  2. Step 2: Convert to fraction form
    80,109.84/124,538.77 = 124,538.77/x
  3. Step 3: Cross multiply
    80,109.84x = 124,538.77 × 124,538.77
  4. Step 4: Simplify right side
    80,109.84x = 15,509,904,143.40
  5. Step 5: Solve for x
    x = 15,509,904,143.40/80,109.84
  6. Step 6: Final answer
    x = 193,607.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.