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Finding the Third Proportional to 13,720.68 and 20,726.98

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Solution

The third proportional to 13,720.68 and 20,726.98 is: 31,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.68 : 20,726.98 = 20,726.98 : x
  2. Step 2: Convert to fraction form
    13,720.68/20,726.98 = 20,726.98/x
  3. Step 3: Cross multiply
    13,720.68x = 20,726.98 × 20,726.98
  4. Step 4: Simplify right side
    13,720.68x = 429,607,595.37
  5. Step 5: Solve for x
    x = 429,607,595.37/13,720.68
  6. Step 6: Final answer
    x = 31,310.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.