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Finding the Third Proportional to 60,800 and 89,100

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Solution

The third proportional to 60,800 and 89,100 is: 130,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,800 : 89,100 = 89,100 : x
  2. Step 2: Convert to fraction form
    60,800/89,100 = 89,100/x
  3. Step 3: Cross multiply
    60,800x = 89,100 × 89,100
  4. Step 4: Simplify right side
    60,800x = 7,938,810,000
  5. Step 5: Solve for x
    x = 7,938,810,000/60,800
  6. Step 6: Final answer
    x = 130,572.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.