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Finding the Third Proportional to 12,154.50 and 25,755.75

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Solution

The third proportional to 12,154.50 and 25,755.75 is: 54,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.50 : 25,755.75 = 25,755.75 : x
  2. Step 2: Convert to fraction form
    12,154.50/25,755.75 = 25,755.75/x
  3. Step 3: Cross multiply
    12,154.50x = 25,755.75 × 25,755.75
  4. Step 4: Simplify right side
    12,154.50x = 663,358,658.06
  5. Step 5: Solve for x
    x = 663,358,658.06/12,154.50
  6. Step 6: Final answer
    x = 54,577.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.