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Finding the Third Proportional to 29,672 and 80,780

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Solution

The third proportional to 29,672 and 80,780 is: 219,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672 : 80,780 = 80,780 : x
  2. Step 2: Convert to fraction form
    29,672/80,780 = 80,780/x
  3. Step 3: Cross multiply
    29,672x = 80,780 × 80,780
  4. Step 4: Simplify right side
    29,672x = 6,525,408,400
  5. Step 5: Solve for x
    x = 6,525,408,400/29,672
  6. Step 6: Final answer
    x = 219,918.05

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.