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Finding the Third Proportional to 48,514 and 77,145

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Solution

The third proportional to 48,514 and 77,145 is: 122,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514 : 77,145 = 77,145 : x
  2. Step 2: Convert to fraction form
    48,514/77,145 = 77,145/x
  3. Step 3: Cross multiply
    48,514x = 77,145 × 77,145
  4. Step 4: Simplify right side
    48,514x = 5,951,351,025
  5. Step 5: Solve for x
    x = 5,951,351,025/48,514
  6. Step 6: Final answer
    x = 122,672.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.