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Finding the Third Proportional to 285,904.69 and 381,160.69

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Solution

The third proportional to 285,904.69 and 381,160.69 is: 508,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,904.69 : 381,160.69 = 381,160.69 : x
  2. Step 2: Convert to fraction form
    285,904.69/381,160.69 = 381,160.69/x
  3. Step 3: Cross multiply
    285,904.69x = 381,160.69 × 381,160.69
  4. Step 4: Simplify right side
    285,904.69x = 145,283,469,695.47
  5. Step 5: Solve for x
    x = 145,283,469,695.47/285,904.69
  6. Step 6: Final answer
    x = 508,153.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.