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Finding the Third Proportional to 78,067.13 and 116,781.75

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Solution

The third proportional to 78,067.13 and 116,781.75 is: 174,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.13 : 116,781.75 = 116,781.75 : x
  2. Step 2: Convert to fraction form
    78,067.13/116,781.75 = 116,781.75/x
  3. Step 3: Cross multiply
    78,067.13x = 116,781.75 × 116,781.75
  4. Step 4: Simplify right side
    78,067.13x = 13,637,977,133.06
  5. Step 5: Solve for x
    x = 13,637,977,133.06/78,067.13
  6. Step 6: Final answer
    x = 174,695.52

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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.