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Finding the Third Proportional to 76,446.28 and 126,344.81

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Solution

The third proportional to 76,446.28 and 126,344.81 is: 208,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.28 : 126,344.81 = 126,344.81 : x
  2. Step 2: Convert to fraction form
    76,446.28/126,344.81 = 126,344.81/x
  3. Step 3: Cross multiply
    76,446.28x = 126,344.81 × 126,344.81
  4. Step 4: Simplify right side
    76,446.28x = 15,963,011,645.66
  5. Step 5: Solve for x
    x = 15,963,011,645.66/76,446.28
  6. Step 6: Final answer
    x = 208,813.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.