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Finding the Third Proportional to 80,619 and 167,854.50

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Solution

The third proportional to 80,619 and 167,854.50 is: 349,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,619 : 167,854.50 = 167,854.50 : x
  2. Step 2: Convert to fraction form
    80,619/167,854.50 = 167,854.50/x
  3. Step 3: Cross multiply
    80,619x = 167,854.50 × 167,854.50
  4. Step 4: Simplify right side
    80,619x = 28,175,133,170.25
  5. Step 5: Solve for x
    x = 28,175,133,170.25/80,619
  6. Step 6: Final answer
    x = 349,485.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.