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Finding the Third Proportional to 204,510 and 437,448

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Solution

The third proportional to 204,510 and 437,448 is: 935,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510 : 437,448 = 437,448 : x
  2. Step 2: Convert to fraction form
    204,510/437,448 = 437,448/x
  3. Step 3: Cross multiply
    204,510x = 437,448 × 437,448
  4. Step 4: Simplify right side
    204,510x = 191,360,752,704
  5. Step 5: Solve for x
    x = 191,360,752,704/204,510
  6. Step 6: Final answer
    x = 935,703.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.