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Finding the Third Proportional to 204,472 and 417,290

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Solution

The third proportional to 204,472 and 417,290 is: 851,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,472 : 417,290 = 417,290 : x
  2. Step 2: Convert to fraction form
    204,472/417,290 = 417,290/x
  3. Step 3: Cross multiply
    204,472x = 417,290 × 417,290
  4. Step 4: Simplify right side
    204,472x = 174,130,944,100
  5. Step 5: Solve for x
    x = 174,130,944,100/204,472
  6. Step 6: Final answer
    x = 851,612.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.