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Finding the Third Proportional to 78,341 and 117,686

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Solution

The third proportional to 78,341 and 117,686 is: 176,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341 : 117,686 = 117,686 : x
  2. Step 2: Convert to fraction form
    78,341/117,686 = 117,686/x
  3. Step 3: Cross multiply
    78,341x = 117,686 × 117,686
  4. Step 4: Simplify right side
    78,341x = 13,849,994,596
  5. Step 5: Solve for x
    x = 13,849,994,596/78,341
  6. Step 6: Final answer
    x = 176,791.14

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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.