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Finding the Third Proportional to 76,712 and 158,749

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Solution

The third proportional to 76,712 and 158,749 is: 328,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712 : 158,749 = 158,749 : x
  2. Step 2: Convert to fraction form
    76,712/158,749 = 158,749/x
  3. Step 3: Cross multiply
    76,712x = 158,749 × 158,749
  4. Step 4: Simplify right side
    76,712x = 25,201,245,001
  5. Step 5: Solve for x
    x = 25,201,245,001/76,712
  6. Step 6: Final answer
    x = 328,517.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.