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Finding the Third Proportional to 71,930 and 158,136

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Solution

The third proportional to 71,930 and 158,136 is: 347,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,930 : 158,136 = 158,136 : x
  2. Step 2: Convert to fraction form
    71,930/158,136 = 158,136/x
  3. Step 3: Cross multiply
    71,930x = 158,136 × 158,136
  4. Step 4: Simplify right side
    71,930x = 25,006,994,496
  5. Step 5: Solve for x
    x = 25,006,994,496/71,930
  6. Step 6: Final answer
    x = 347,657.37

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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.