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Finding the Third Proportional to 138,142 and 305,324

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Solution

The third proportional to 138,142 and 305,324 is: 674,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142 : 305,324 = 305,324 : x
  2. Step 2: Convert to fraction form
    138,142/305,324 = 305,324/x
  3. Step 3: Cross multiply
    138,142x = 305,324 × 305,324
  4. Step 4: Simplify right side
    138,142x = 93,222,744,976
  5. Step 5: Solve for x
    x = 93,222,744,976/138,142
  6. Step 6: Final answer
    x = 674,832.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.