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Finding the Third Proportional to 12,132.35 and 25,951.40

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Solution

The third proportional to 12,132.35 and 25,951.40 is: 55,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.35 : 25,951.40 = 25,951.40 : x
  2. Step 2: Convert to fraction form
    12,132.35/25,951.40 = 25,951.40/x
  3. Step 3: Cross multiply
    12,132.35x = 25,951.40 × 25,951.40
  4. Step 4: Simplify right side
    12,132.35x = 673,475,334.29
  5. Step 5: Solve for x
    x = 673,475,334.29/12,132.35
  6. Step 6: Final answer
    x = 55,510.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.