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Finding the Third Proportional to 48,138 and 71,808

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Solution

The third proportional to 48,138 and 71,808 is: 107,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,138 : 71,808 = 71,808 : x
  2. Step 2: Convert to fraction form
    48,138/71,808 = 71,808/x
  3. Step 3: Cross multiply
    48,138x = 71,808 × 71,808
  4. Step 4: Simplify right side
    48,138x = 5,156,388,864
  5. Step 5: Solve for x
    x = 5,156,388,864/48,138
  6. Step 6: Final answer
    x = 107,116.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.