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Finding the Third Proportional to 54,089 and 80,683

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Solution

The third proportional to 54,089 and 80,683 is: 120,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,089 : 80,683 = 80,683 : x
  2. Step 2: Convert to fraction form
    54,089/80,683 = 80,683/x
  3. Step 3: Cross multiply
    54,089x = 80,683 × 80,683
  4. Step 4: Simplify right side
    54,089x = 6,509,746,489
  5. Step 5: Solve for x
    x = 6,509,746,489/54,089
  6. Step 6: Final answer
    x = 120,352.50

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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.