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Finding the Third Proportional to 78,626 and 117,651

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Solution

The third proportional to 78,626 and 117,651 is: 176,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,626 : 117,651 = 117,651 : x
  2. Step 2: Convert to fraction form
    78,626/117,651 = 117,651/x
  3. Step 3: Cross multiply
    78,626x = 117,651 × 117,651
  4. Step 4: Simplify right side
    78,626x = 13,841,757,801
  5. Step 5: Solve for x
    x = 13,841,757,801/78,626
  6. Step 6: Final answer
    x = 176,045.55

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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.