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Finding the Third Proportional to 78,794.25 and 121,107.75

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Solution

The third proportional to 78,794.25 and 121,107.75 is: 186,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,794.25 : 121,107.75 = 121,107.75 : x
  2. Step 2: Convert to fraction form
    78,794.25/121,107.75 = 121,107.75/x
  3. Step 3: Cross multiply
    78,794.25x = 121,107.75 × 121,107.75
  4. Step 4: Simplify right side
    78,794.25x = 14,667,087,110.06
  5. Step 5: Solve for x
    x = 14,667,087,110.06/78,794.25
  6. Step 6: Final answer
    x = 186,144.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.