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Finding the Third Proportional to 48,439.50 and 72,939

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Solution

The third proportional to 48,439.50 and 72,939 is: 109,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,439.50 : 72,939 = 72,939 : x
  2. Step 2: Convert to fraction form
    48,439.50/72,939 = 72,939/x
  3. Step 3: Cross multiply
    48,439.50x = 72,939 × 72,939
  4. Step 4: Simplify right side
    48,439.50x = 5,320,097,721
  5. Step 5: Solve for x
    x = 5,320,097,721/48,439.50
  6. Step 6: Final answer
    x = 109,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.