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Finding the Third Proportional to 202,360 and 440,419

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Solution

The third proportional to 202,360 and 440,419 is: 958,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360 : 440,419 = 440,419 : x
  2. Step 2: Convert to fraction form
    202,360/440,419 = 440,419/x
  3. Step 3: Cross multiply
    202,360x = 440,419 × 440,419
  4. Step 4: Simplify right side
    202,360x = 193,968,895,561
  5. Step 5: Solve for x
    x = 193,968,895,561/202,360
  6. Step 6: Final answer
    x = 958,533.78

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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.