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Finding the Third Proportional to 78,073 and 167,986.25

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Solution

The third proportional to 78,073 and 167,986.25 is: 361,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073 : 167,986.25 = 167,986.25 : x
  2. Step 2: Convert to fraction form
    78,073/167,986.25 = 167,986.25/x
  3. Step 3: Cross multiply
    78,073x = 167,986.25 × 167,986.25
  4. Step 4: Simplify right side
    78,073x = 28,219,380,189.06
  5. Step 5: Solve for x
    x = 28,219,380,189.06/78,073
  6. Step 6: Final answer
    x = 361,448.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.