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Finding the Third Proportional to 38,078 and 55,816

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Solution

The third proportional to 38,078 and 55,816 is: 81,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078 : 55,816 = 55,816 : x
  2. Step 2: Convert to fraction form
    38,078/55,816 = 55,816/x
  3. Step 3: Cross multiply
    38,078x = 55,816 × 55,816
  4. Step 4: Simplify right side
    38,078x = 3,115,425,856
  5. Step 5: Solve for x
    x = 3,115,425,856/38,078
  6. Step 6: Final answer
    x = 81,816.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.