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Finding the Third Proportional to 9,146.81 and 13,659.19

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Solution

The third proportional to 9,146.81 and 13,659.19 is: 20,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.81 : 13,659.19 = 13,659.19 : x
  2. Step 2: Convert to fraction form
    9,146.81/13,659.19 = 13,659.19/x
  3. Step 3: Cross multiply
    9,146.81x = 13,659.19 × 13,659.19
  4. Step 4: Simplify right side
    9,146.81x = 186,573,403.16
  5. Step 5: Solve for x
    x = 186,573,403.16/9,146.81
  6. Step 6: Final answer
    x = 20,397.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.