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Finding the Third Proportional to 80,812.69 and 127,899

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Solution

The third proportional to 80,812.69 and 127,899 is: 202,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,812.69 : 127,899 = 127,899 : x
  2. Step 2: Convert to fraction form
    80,812.69/127,899 = 127,899/x
  3. Step 3: Cross multiply
    80,812.69x = 127,899 × 127,899
  4. Step 4: Simplify right side
    80,812.69x = 16,358,154,201
  5. Step 5: Solve for x
    x = 16,358,154,201/80,812.69
  6. Step 6: Final answer
    x = 202,420.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.