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Finding the Third Proportional to 60,338 and 90,390

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Solution

The third proportional to 60,338 and 90,390 is: 135,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,338 : 90,390 = 90,390 : x
  2. Step 2: Convert to fraction form
    60,338/90,390 = 90,390/x
  3. Step 3: Cross multiply
    60,338x = 90,390 × 90,390
  4. Step 4: Simplify right side
    60,338x = 8,170,352,100
  5. Step 5: Solve for x
    x = 8,170,352,100/60,338
  6. Step 6: Final answer
    x = 135,409.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.