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Finding the Third Proportional to 62,781 and 137,955

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Solution

The third proportional to 62,781 and 137,955 is: 303,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,781 : 137,955 = 137,955 : x
  2. Step 2: Convert to fraction form
    62,781/137,955 = 137,955/x
  3. Step 3: Cross multiply
    62,781x = 137,955 × 137,955
  4. Step 4: Simplify right side
    62,781x = 19,031,582,025
  5. Step 5: Solve for x
    x = 19,031,582,025/62,781
  6. Step 6: Final answer
    x = 303,142.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.