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Finding the Third Proportional to 13,213.13 and 30,147.19

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Solution

The third proportional to 13,213.13 and 30,147.19 is: 68,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 30,147.19 = 30,147.19 : x
  2. Step 2: Convert to fraction form
    13,213.13/30,147.19 = 30,147.19/x
  3. Step 3: Cross multiply
    13,213.13x = 30,147.19 × 30,147.19
  4. Step 4: Simplify right side
    13,213.13x = 908,852,914.16
  5. Step 5: Solve for x
    x = 908,852,914.16/13,213.13
  6. Step 6: Final answer
    x = 68,784.10

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.