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Finding the Third Proportional to 13,780.13 and 18,888.19

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Solution

The third proportional to 13,780.13 and 18,888.19 is: 25,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 18,888.19 = 18,888.19 : x
  2. Step 2: Convert to fraction form
    13,780.13/18,888.19 = 18,888.19/x
  3. Step 3: Cross multiply
    13,780.13x = 18,888.19 × 18,888.19
  4. Step 4: Simplify right side
    13,780.13x = 356,763,627.04
  5. Step 5: Solve for x
    x = 356,763,627.04/13,780.13
  6. Step 6: Final answer
    x = 25,889.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.