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Finding the Third Proportional to 15,688 and 34,234

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Solution

The third proportional to 15,688 and 34,234 is: 74,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 34,234 = 34,234 : x
  2. Step 2: Convert to fraction form
    15,688/34,234 = 34,234/x
  3. Step 3: Cross multiply
    15,688x = 34,234 × 34,234
  4. Step 4: Simplify right side
    15,688x = 1,171,966,756
  5. Step 5: Solve for x
    x = 1,171,966,756/15,688
  6. Step 6: Final answer
    x = 74,704.66

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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.