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Finding the Third Proportional to 75,987 and 117,139

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Solution

The third proportional to 75,987 and 117,139 is: 180,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,987 : 117,139 = 117,139 : x
  2. Step 2: Convert to fraction form
    75,987/117,139 = 117,139/x
  3. Step 3: Cross multiply
    75,987x = 117,139 × 117,139
  4. Step 4: Simplify right side
    75,987x = 13,721,545,321
  5. Step 5: Solve for x
    x = 13,721,545,321/75,987
  6. Step 6: Final answer
    x = 180,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.