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Finding the Third Proportional to 79,314 and 115,987

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Solution

The third proportional to 79,314 and 115,987 is: 169,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,314 : 115,987 = 115,987 : x
  2. Step 2: Convert to fraction form
    79,314/115,987 = 115,987/x
  3. Step 3: Cross multiply
    79,314x = 115,987 × 115,987
  4. Step 4: Simplify right side
    79,314x = 13,452,984,169
  5. Step 5: Solve for x
    x = 13,452,984,169/79,314
  6. Step 6: Final answer
    x = 169,616.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.