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Finding the Third Proportional to 71,355 and 168,749

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Solution

The third proportional to 71,355 and 168,749 is: 399,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,355 : 168,749 = 168,749 : x
  2. Step 2: Convert to fraction form
    71,355/168,749 = 168,749/x
  3. Step 3: Cross multiply
    71,355x = 168,749 × 168,749
  4. Step 4: Simplify right side
    71,355x = 28,476,225,001
  5. Step 5: Solve for x
    x = 28,476,225,001/71,355
  6. Step 6: Final answer
    x = 399,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.