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Finding the Third Proportional to 75,718 and 117,123

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Solution

The third proportional to 75,718 and 117,123 is: 181,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718 : 117,123 = 117,123 : x
  2. Step 2: Convert to fraction form
    75,718/117,123 = 117,123/x
  3. Step 3: Cross multiply
    75,718x = 117,123 × 117,123
  4. Step 4: Simplify right side
    75,718x = 13,717,797,129
  5. Step 5: Solve for x
    x = 13,717,797,129/75,718
  6. Step 6: Final answer
    x = 181,169.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.