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Finding the Third Proportional to 54,136 and 80,930

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Solution

The third proportional to 54,136 and 80,930 is: 120,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,136 : 80,930 = 80,930 : x
  2. Step 2: Convert to fraction form
    54,136/80,930 = 80,930/x
  3. Step 3: Cross multiply
    54,136x = 80,930 × 80,930
  4. Step 4: Simplify right side
    54,136x = 6,549,664,900
  5. Step 5: Solve for x
    x = 6,549,664,900/54,136
  6. Step 6: Final answer
    x = 120,985.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.