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Finding the Third Proportional to 15,812 and 34,974

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Solution

The third proportional to 15,812 and 34,974 is: 77,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812 : 34,974 = 34,974 : x
  2. Step 2: Convert to fraction form
    15,812/34,974 = 34,974/x
  3. Step 3: Cross multiply
    15,812x = 34,974 × 34,974
  4. Step 4: Simplify right side
    15,812x = 1,223,180,676
  5. Step 5: Solve for x
    x = 1,223,180,676/15,812
  6. Step 6: Final answer
    x = 77,357.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.