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Finding the Third Proportional to 78,033 and 120,759

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Solution

The third proportional to 78,033 and 120,759 is: 186,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033 : 120,759 = 120,759 : x
  2. Step 2: Convert to fraction form
    78,033/120,759 = 120,759/x
  3. Step 3: Cross multiply
    78,033x = 120,759 × 120,759
  4. Step 4: Simplify right side
    78,033x = 14,582,736,081
  5. Step 5: Solve for x
    x = 14,582,736,081/78,033
  6. Step 6: Final answer
    x = 186,879.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.