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Finding the Third Proportional to 10,432.13 and 13,218.19

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Solution

The third proportional to 10,432.13 and 13,218.19 is: 16,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.13 : 13,218.19 = 13,218.19 : x
  2. Step 2: Convert to fraction form
    10,432.13/13,218.19 = 13,218.19/x
  3. Step 3: Cross multiply
    10,432.13x = 13,218.19 × 13,218.19
  4. Step 4: Simplify right side
    10,432.13x = 174,720,480.79
  5. Step 5: Solve for x
    x = 174,720,480.79/10,432.13
  6. Step 6: Final answer
    x = 16,748.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.