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Finding the Third Proportional to 189,344.25 and 408,213

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Solution

The third proportional to 189,344.25 and 408,213 is: 880,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,344.25 : 408,213 = 408,213 : x
  2. Step 2: Convert to fraction form
    189,344.25/408,213 = 408,213/x
  3. Step 3: Cross multiply
    189,344.25x = 408,213 × 408,213
  4. Step 4: Simplify right side
    189,344.25x = 166,637,853,369
  5. Step 5: Solve for x
    x = 166,637,853,369/189,344.25
  6. Step 6: Final answer
    x = 880,078.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.