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Finding the Third Proportional to 78,909.75 and 119,184.75

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Solution

The third proportional to 78,909.75 and 119,184.75 is: 180,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,909.75 : 119,184.75 = 119,184.75 : x
  2. Step 2: Convert to fraction form
    78,909.75/119,184.75 = 119,184.75/x
  3. Step 3: Cross multiply
    78,909.75x = 119,184.75 × 119,184.75
  4. Step 4: Simplify right side
    78,909.75x = 14,205,004,632.56
  5. Step 5: Solve for x
    x = 14,205,004,632.56/78,909.75
  6. Step 6: Final answer
    x = 180,015.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.