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Finding the Third Proportional to 158,136 and 338,874

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Solution

The third proportional to 158,136 and 338,874 is: 726,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,136 : 338,874 = 338,874 : x
  2. Step 2: Convert to fraction form
    158,136/338,874 = 338,874/x
  3. Step 3: Cross multiply
    158,136x = 338,874 × 338,874
  4. Step 4: Simplify right side
    158,136x = 114,835,587,876
  5. Step 5: Solve for x
    x = 114,835,587,876/158,136
  6. Step 6: Final answer
    x = 726,182.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.