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Finding the Third Proportional to 77,196 and 115,986

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Solution

The third proportional to 77,196 and 115,986 is: 174,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196 : 115,986 = 115,986 : x
  2. Step 2: Convert to fraction form
    77,196/115,986 = 115,986/x
  3. Step 3: Cross multiply
    77,196x = 115,986 × 115,986
  4. Step 4: Simplify right side
    77,196x = 13,452,752,196
  5. Step 5: Solve for x
    x = 13,452,752,196/77,196
  6. Step 6: Final answer
    x = 174,267.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.