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Finding the Third Proportional to 11,486.81 and 13,420.69

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Solution

The third proportional to 11,486.81 and 13,420.69 is: 15,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.81 : 13,420.69 = 13,420.69 : x
  2. Step 2: Convert to fraction form
    11,486.81/13,420.69 = 13,420.69/x
  3. Step 3: Cross multiply
    11,486.81x = 13,420.69 × 13,420.69
  4. Step 4: Simplify right side
    11,486.81x = 180,114,852.97
  5. Step 5: Solve for x
    x = 180,114,852.97/11,486.81
  6. Step 6: Final answer
    x = 15,680.14

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.