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Finding the Third Proportional to 13,248 and 36,019.13

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Solution

The third proportional to 13,248 and 36,019.13 is: 97,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 36,019.13 = 36,019.13 : x
  2. Step 2: Convert to fraction form
    13,248/36,019.13 = 36,019.13/x
  3. Step 3: Cross multiply
    13,248x = 36,019.13 × 36,019.13
  4. Step 4: Simplify right side
    13,248x = 1,297,377,365.77
  5. Step 5: Solve for x
    x = 1,297,377,365.77/13,248
  6. Step 6: Final answer
    x = 97,930.05

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.