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Finding the Third Proportional to 78,456.75 and 172,749

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Solution

The third proportional to 78,456.75 and 172,749 is: 380,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,456.75 : 172,749 = 172,749 : x
  2. Step 2: Convert to fraction form
    78,456.75/172,749 = 172,749/x
  3. Step 3: Cross multiply
    78,456.75x = 172,749 × 172,749
  4. Step 4: Simplify right side
    78,456.75x = 29,842,217,001
  5. Step 5: Solve for x
    x = 29,842,217,001/78,456.75
  6. Step 6: Final answer
    x = 380,365.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.