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Finding the Third Proportional to 10,621.13 and 18,078.19

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Solution

The third proportional to 10,621.13 and 18,078.19 is: 30,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.13 : 18,078.19 = 18,078.19 : x
  2. Step 2: Convert to fraction form
    10,621.13/18,078.19 = 18,078.19/x
  3. Step 3: Cross multiply
    10,621.13x = 18,078.19 × 18,078.19
  4. Step 4: Simplify right side
    10,621.13x = 326,820,863.29
  5. Step 5: Solve for x
    x = 326,820,863.29/10,621.13
  6. Step 6: Final answer
    x = 30,770.83

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.