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Finding the Third Proportional to 10,702.92 and 15,212.65

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Solution

The third proportional to 10,702.92 and 15,212.65 is: 21,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.92 : 15,212.65 = 15,212.65 : x
  2. Step 2: Convert to fraction form
    10,702.92/15,212.65 = 15,212.65/x
  3. Step 3: Cross multiply
    10,702.92x = 15,212.65 × 15,212.65
  4. Step 4: Simplify right side
    10,702.92x = 231,424,850.76
  5. Step 5: Solve for x
    x = 231,424,850.76/10,702.92
  6. Step 6: Final answer
    x = 21,622.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.