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Finding the Third Proportional to 176,878.69 and 381,915

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Solution

The third proportional to 176,878.69 and 381,915 is: 824,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,878.69 : 381,915 = 381,915 : x
  2. Step 2: Convert to fraction form
    176,878.69/381,915 = 381,915/x
  3. Step 3: Cross multiply
    176,878.69x = 381,915 × 381,915
  4. Step 4: Simplify right side
    176,878.69x = 145,859,067,225
  5. Step 5: Solve for x
    x = 145,859,067,225/176,878.69
  6. Step 6: Final answer
    x = 824,627.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.