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Finding the Third Proportional to 30,439.13 and 67,448.11

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Solution

The third proportional to 30,439.13 and 67,448.11 is: 149,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.13 : 67,448.11 = 67,448.11 : x
  2. Step 2: Convert to fraction form
    30,439.13/67,448.11 = 67,448.11/x
  3. Step 3: Cross multiply
    30,439.13x = 67,448.11 × 67,448.11
  4. Step 4: Simplify right side
    30,439.13x = 4,549,247,458.26
  5. Step 5: Solve for x
    x = 4,549,247,458.26/30,439.13
  6. Step 6: Final answer
    x = 149,453.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.