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Finding the Third Proportional to 62,786 and 135,940

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Solution

The third proportional to 62,786 and 135,940 is: 294,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,786 : 135,940 = 135,940 : x
  2. Step 2: Convert to fraction form
    62,786/135,940 = 135,940/x
  3. Step 3: Cross multiply
    62,786x = 135,940 × 135,940
  4. Step 4: Simplify right side
    62,786x = 18,479,683,600
  5. Step 5: Solve for x
    x = 18,479,683,600/62,786
  6. Step 6: Final answer
    x = 294,328.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.