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Finding the Third Proportional to 78,342.75 and 160,834.50

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Solution

The third proportional to 78,342.75 and 160,834.50 is: 330,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.75 : 160,834.50 = 160,834.50 : x
  2. Step 2: Convert to fraction form
    78,342.75/160,834.50 = 160,834.50/x
  3. Step 3: Cross multiply
    78,342.75x = 160,834.50 × 160,834.50
  4. Step 4: Simplify right side
    78,342.75x = 25,867,736,390.25
  5. Step 5: Solve for x
    x = 25,867,736,390.25/78,342.75
  6. Step 6: Final answer
    x = 330,186.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.