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Finding the Third Proportional to 13,353.19 and 20,666.81

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Solution

The third proportional to 13,353.19 and 20,666.81 is: 31,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.19 : 20,666.81 = 20,666.81 : x
  2. Step 2: Convert to fraction form
    13,353.19/20,666.81 = 20,666.81/x
  3. Step 3: Cross multiply
    13,353.19x = 20,666.81 × 20,666.81
  4. Step 4: Simplify right side
    13,353.19x = 427,117,138.91
  5. Step 5: Solve for x
    x = 427,117,138.91/13,353.19
  6. Step 6: Final answer
    x = 31,986.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.