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Finding the Third Proportional to 28,920 and 39,292

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Solution

The third proportional to 28,920 and 39,292 is: 53,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,920 : 39,292 = 39,292 : x
  2. Step 2: Convert to fraction form
    28,920/39,292 = 39,292/x
  3. Step 3: Cross multiply
    28,920x = 39,292 × 39,292
  4. Step 4: Simplify right side
    28,920x = 1,543,861,264
  5. Step 5: Solve for x
    x = 1,543,861,264/28,920
  6. Step 6: Final answer
    x = 53,383.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.