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Finding the Third Proportional to 15,875 and 34,865

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Solution

The third proportional to 15,875 and 34,865 is: 76,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875 : 34,865 = 34,865 : x
  2. Step 2: Convert to fraction form
    15,875/34,865 = 34,865/x
  3. Step 3: Cross multiply
    15,875x = 34,865 × 34,865
  4. Step 4: Simplify right side
    15,875x = 1,215,568,225
  5. Step 5: Solve for x
    x = 1,215,568,225/15,875
  6. Step 6: Final answer
    x = 76,571.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.