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Finding the Third Proportional to 15,868 and 34,390

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Solution

The third proportional to 15,868 and 34,390 is: 74,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,868 : 34,390 = 34,390 : x
  2. Step 2: Convert to fraction form
    15,868/34,390 = 34,390/x
  3. Step 3: Cross multiply
    15,868x = 34,390 × 34,390
  4. Step 4: Simplify right side
    15,868x = 1,182,672,100
  5. Step 5: Solve for x
    x = 1,182,672,100/15,868
  6. Step 6: Final answer
    x = 74,531.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.