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Finding the Third Proportional to 209,275 and 453,320

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Solution

The third proportional to 209,275 and 453,320 is: 981,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,275 : 453,320 = 453,320 : x
  2. Step 2: Convert to fraction form
    209,275/453,320 = 453,320/x
  3. Step 3: Cross multiply
    209,275x = 453,320 × 453,320
  4. Step 4: Simplify right side
    209,275x = 205,499,022,400
  5. Step 5: Solve for x
    x = 205,499,022,400/209,275
  6. Step 6: Final answer
    x = 981,956.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.