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Finding the Third Proportional to 13,191.19 and 20,455.88

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Solution

The third proportional to 13,191.19 and 20,455.88 is: 31,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.19 : 20,455.88 = 20,455.88 : x
  2. Step 2: Convert to fraction form
    13,191.19/20,455.88 = 20,455.88/x
  3. Step 3: Cross multiply
    13,191.19x = 20,455.88 × 20,455.88
  4. Step 4: Simplify right side
    13,191.19x = 418,442,822.02
  5. Step 5: Solve for x
    x = 418,442,822.02/13,191.19
  6. Step 6: Final answer
    x = 31,721.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.