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Finding the Third Proportional to 81,691.69 and 176,953.69

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Solution

The third proportional to 81,691.69 and 176,953.69 is: 383,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,691.69 : 176,953.69 = 176,953.69 : x
  2. Step 2: Convert to fraction form
    81,691.69/176,953.69 = 176,953.69/x
  3. Step 3: Cross multiply
    81,691.69x = 176,953.69 × 176,953.69
  4. Step 4: Simplify right side
    81,691.69x = 31,312,607,519.85
  5. Step 5: Solve for x
    x = 31,312,607,519.85/81,691.69
  6. Step 6: Final answer
    x = 383,302.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.