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Finding the Third Proportional to 48,397 and 72,878

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Solution

The third proportional to 48,397 and 72,878 is: 109,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,397 : 72,878 = 72,878 : x
  2. Step 2: Convert to fraction form
    48,397/72,878 = 72,878/x
  3. Step 3: Cross multiply
    48,397x = 72,878 × 72,878
  4. Step 4: Simplify right side
    48,397x = 5,311,202,884
  5. Step 5: Solve for x
    x = 5,311,202,884/48,397
  6. Step 6: Final answer
    x = 109,742.40

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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.