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Finding the Third Proportional to 15,718 and 34,163

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Solution

The third proportional to 15,718 and 34,163 is: 74,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718 : 34,163 = 34,163 : x
  2. Step 2: Convert to fraction form
    15,718/34,163 = 34,163/x
  3. Step 3: Cross multiply
    15,718x = 34,163 × 34,163
  4. Step 4: Simplify right side
    15,718x = 1,167,110,569
  5. Step 5: Solve for x
    x = 1,167,110,569/15,718
  6. Step 6: Final answer
    x = 74,253.12

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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.