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Finding the Third Proportional to 78,367.50 and 167,305.50

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Solution

The third proportional to 78,367.50 and 167,305.50 is: 357,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 167,305.50 = 167,305.50 : x
  2. Step 2: Convert to fraction form
    78,367.50/167,305.50 = 167,305.50/x
  3. Step 3: Cross multiply
    78,367.50x = 167,305.50 × 167,305.50
  4. Step 4: Simplify right side
    78,367.50x = 27,991,130,330.25
  5. Step 5: Solve for x
    x = 27,991,130,330.25/78,367.50
  6. Step 6: Final answer
    x = 357,177.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.