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Finding the Third Proportional to 57,158 and 77,103

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Solution

The third proportional to 57,158 and 77,103 is: 104,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158 : 77,103 = 77,103 : x
  2. Step 2: Convert to fraction form
    57,158/77,103 = 77,103/x
  3. Step 3: Cross multiply
    57,158x = 77,103 × 77,103
  4. Step 4: Simplify right side
    57,158x = 5,944,872,609
  5. Step 5: Solve for x
    x = 5,944,872,609/57,158
  6. Step 6: Final answer
    x = 104,007.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.