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Finding the Third Proportional to 34,872 and 74,100

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Solution

The third proportional to 34,872 and 74,100 is: 157,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,872 : 74,100 = 74,100 : x
  2. Step 2: Convert to fraction form
    34,872/74,100 = 74,100/x
  3. Step 3: Cross multiply
    34,872x = 74,100 × 74,100
  4. Step 4: Simplify right side
    34,872x = 5,490,810,000
  5. Step 5: Solve for x
    x = 5,490,810,000/34,872
  6. Step 6: Final answer
    x = 157,456.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.