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Finding the Third Proportional to 189,434 and 408,382

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Solution

The third proportional to 189,434 and 408,382 is: 880,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,434 : 408,382 = 408,382 : x
  2. Step 2: Convert to fraction form
    189,434/408,382 = 408,382/x
  3. Step 3: Cross multiply
    189,434x = 408,382 × 408,382
  4. Step 4: Simplify right side
    189,434x = 166,775,857,924
  5. Step 5: Solve for x
    x = 166,775,857,924/189,434
  6. Step 6: Final answer
    x = 880,390.31

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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.