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Finding the Third Proportional to 11,646.28 and 18,161.40

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Solution

The third proportional to 11,646.28 and 18,161.40 is: 28,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.28 : 18,161.40 = 18,161.40 : x
  2. Step 2: Convert to fraction form
    11,646.28/18,161.40 = 18,161.40/x
  3. Step 3: Cross multiply
    11,646.28x = 18,161.40 × 18,161.40
  4. Step 4: Simplify right side
    11,646.28x = 329,836,535.09
  5. Step 5: Solve for x
    x = 329,836,535.09/11,646.28
  6. Step 6: Final answer
    x = 28,321.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.