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Finding the Third Proportional to 28,418 and 39,750

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Solution

The third proportional to 28,418 and 39,750 is: 55,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,418 : 39,750 = 39,750 : x
  2. Step 2: Convert to fraction form
    28,418/39,750 = 39,750/x
  3. Step 3: Cross multiply
    28,418x = 39,750 × 39,750
  4. Step 4: Simplify right side
    28,418x = 1,580,062,500
  5. Step 5: Solve for x
    x = 1,580,062,500/28,418
  6. Step 6: Final answer
    x = 55,600.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.