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Finding the Third Proportional to 15,600 and 34,115

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Solution

The third proportional to 15,600 and 34,115 is: 74,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600 : 34,115 = 34,115 : x
  2. Step 2: Convert to fraction form
    15,600/34,115 = 34,115/x
  3. Step 3: Cross multiply
    15,600x = 34,115 × 34,115
  4. Step 4: Simplify right side
    15,600x = 1,163,833,225
  5. Step 5: Solve for x
    x = 1,163,833,225/15,600
  6. Step 6: Final answer
    x = 74,604.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.