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Finding the Third Proportional to 81,249.19 and 118,864.69

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Solution

The third proportional to 81,249.19 and 118,864.69 is: 173,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,249.19 : 118,864.69 = 118,864.69 : x
  2. Step 2: Convert to fraction form
    81,249.19/118,864.69 = 118,864.69/x
  3. Step 3: Cross multiply
    81,249.19x = 118,864.69 × 118,864.69
  4. Step 4: Simplify right side
    81,249.19x = 14,128,813,934.47
  5. Step 5: Solve for x
    x = 14,128,813,934.47/81,249.19
  6. Step 6: Final answer
    x = 173,894.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.