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Finding the Third Proportional to 12,901.78 and 25,530.19

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Solution

The third proportional to 12,901.78 and 25,530.19 is: 50,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 25,530.19 = 25,530.19 : x
  2. Step 2: Convert to fraction form
    12,901.78/25,530.19 = 25,530.19/x
  3. Step 3: Cross multiply
    12,901.78x = 25,530.19 × 25,530.19
  4. Step 4: Simplify right side
    12,901.78x = 651,790,473.79
  5. Step 5: Solve for x
    x = 651,790,473.79/12,901.78
  6. Step 6: Final answer
    x = 50,519.42

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.