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Finding the Third Proportional to 15,916 and 34,685

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Solution

The third proportional to 15,916 and 34,685 is: 75,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916 : 34,685 = 34,685 : x
  2. Step 2: Convert to fraction form
    15,916/34,685 = 34,685/x
  3. Step 3: Cross multiply
    15,916x = 34,685 × 34,685
  4. Step 4: Simplify right side
    15,916x = 1,203,049,225
  5. Step 5: Solve for x
    x = 1,203,049,225/15,916
  6. Step 6: Final answer
    x = 75,587.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.