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Finding the Third Proportional to 138,959 and 303,342

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Solution

The third proportional to 138,959 and 303,342 is: 662,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959 : 303,342 = 303,342 : x
  2. Step 2: Convert to fraction form
    138,959/303,342 = 303,342/x
  3. Step 3: Cross multiply
    138,959x = 303,342 × 303,342
  4. Step 4: Simplify right side
    138,959x = 92,016,368,964
  5. Step 5: Solve for x
    x = 92,016,368,964/138,959
  6. Step 6: Final answer
    x = 662,183.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.