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Finding the Third Proportional to 67,984.31 and 146,778.19

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Solution

The third proportional to 67,984.31 and 146,778.19 is: 316,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984.31 : 146,778.19 = 146,778.19 : x
  2. Step 2: Convert to fraction form
    67,984.31/146,778.19 = 146,778.19/x
  3. Step 3: Cross multiply
    67,984.31x = 146,778.19 × 146,778.19
  4. Step 4: Simplify right side
    67,984.31x = 21,543,836,325.79
  5. Step 5: Solve for x
    x = 21,543,836,325.79/67,984.31
  6. Step 6: Final answer
    x = 316,894.23

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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.