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Finding the Third Proportional to 54,500 and 85,638

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Solution

The third proportional to 54,500 and 85,638 is: 134,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,500 : 85,638 = 85,638 : x
  2. Step 2: Convert to fraction form
    54,500/85,638 = 85,638/x
  3. Step 3: Cross multiply
    54,500x = 85,638 × 85,638
  4. Step 4: Simplify right side
    54,500x = 7,333,867,044
  5. Step 5: Solve for x
    x = 7,333,867,044/54,500
  6. Step 6: Final answer
    x = 134,566.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.