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Finding the Third Proportional to 78,259 and 168,749

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Solution

The third proportional to 78,259 and 168,749 is: 363,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,259 : 168,749 = 168,749 : x
  2. Step 2: Convert to fraction form
    78,259/168,749 = 168,749/x
  3. Step 3: Cross multiply
    78,259x = 168,749 × 168,749
  4. Step 4: Simplify right side
    78,259x = 28,476,225,001
  5. Step 5: Solve for x
    x = 28,476,225,001/78,259
  6. Step 6: Final answer
    x = 363,871.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.