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Finding the Third Proportional to 202,370 and 440,439

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Solution

The third proportional to 202,370 and 440,439 is: 958,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,370 : 440,439 = 440,439 : x
  2. Step 2: Convert to fraction form
    202,370/440,439 = 440,439/x
  3. Step 3: Cross multiply
    202,370x = 440,439 × 440,439
  4. Step 4: Simplify right side
    202,370x = 193,986,512,721
  5. Step 5: Solve for x
    x = 193,986,512,721/202,370
  6. Step 6: Final answer
    x = 958,573.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.