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Finding the Third Proportional to 15,717 and 34,590

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Solution

The third proportional to 15,717 and 34,590 is: 76,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717 : 34,590 = 34,590 : x
  2. Step 2: Convert to fraction form
    15,717/34,590 = 34,590/x
  3. Step 3: Cross multiply
    15,717x = 34,590 × 34,590
  4. Step 4: Simplify right side
    15,717x = 1,196,468,100
  5. Step 5: Solve for x
    x = 1,196,468,100/15,717
  6. Step 6: Final answer
    x = 76,125.73

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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.