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Finding the Third Proportional to 13,640.91 and 18,419.91

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Solution

The third proportional to 13,640.91 and 18,419.91 is: 24,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.91 : 18,419.91 = 18,419.91 : x
  2. Step 2: Convert to fraction form
    13,640.91/18,419.91 = 18,419.91/x
  3. Step 3: Cross multiply
    13,640.91x = 18,419.91 × 18,419.91
  4. Step 4: Simplify right side
    13,640.91x = 339,292,946.26
  5. Step 5: Solve for x
    x = 339,292,946.26/13,640.91
  6. Step 6: Final answer
    x = 24,873.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.