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Finding the Third Proportional to 129,601.69 and 284,113.69

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Solution

The third proportional to 129,601.69 and 284,113.69 is: 622,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,601.69 : 284,113.69 = 284,113.69 : x
  2. Step 2: Convert to fraction form
    129,601.69/284,113.69 = 284,113.69/x
  3. Step 3: Cross multiply
    129,601.69x = 284,113.69 × 284,113.69
  4. Step 4: Simplify right side
    129,601.69x = 80,720,587,424.85
  5. Step 5: Solve for x
    x = 80,720,587,424.85/129,601.69
  6. Step 6: Final answer
    x = 622,835.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.