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Finding the Third Proportional to 78,668 and 117,979

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Solution

The third proportional to 78,668 and 117,979 is: 176,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,668 : 117,979 = 117,979 : x
  2. Step 2: Convert to fraction form
    78,668/117,979 = 117,979/x
  3. Step 3: Cross multiply
    78,668x = 117,979 × 117,979
  4. Step 4: Simplify right side
    78,668x = 13,919,044,441
  5. Step 5: Solve for x
    x = 13,919,044,441/78,668
  6. Step 6: Final answer
    x = 176,934.01

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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.