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Finding the Third Proportional to 13,486.99 and 20,417.87

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Solution

The third proportional to 13,486.99 and 20,417.87 is: 30,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.99 : 20,417.87 = 20,417.87 : x
  2. Step 2: Convert to fraction form
    13,486.99/20,417.87 = 20,417.87/x
  3. Step 3: Cross multiply
    13,486.99x = 20,417.87 × 20,417.87
  4. Step 4: Simplify right side
    13,486.99x = 416,889,460.00
  5. Step 5: Solve for x
    x = 416,889,460.00/13,486.99
  6. Step 6: Final answer
    x = 30,910.48

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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.