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Finding the Third Proportional to 12,646.13 and 13,780.13

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Solution

The third proportional to 12,646.13 and 13,780.13 is: 15,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.13 : 13,780.13 = 13,780.13 : x
  2. Step 2: Convert to fraction form
    12,646.13/13,780.13 = 13,780.13/x
  3. Step 3: Cross multiply
    12,646.13x = 13,780.13 × 13,780.13
  4. Step 4: Simplify right side
    12,646.13x = 189,891,845.02
  5. Step 5: Solve for x
    x = 189,891,845.02/12,646.13
  6. Step 6: Final answer
    x = 15,015.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.