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Finding the Third Proportional to 200,822 and 418,292

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Solution

The third proportional to 200,822 and 418,292 is: 871,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,822 : 418,292 = 418,292 : x
  2. Step 2: Convert to fraction form
    200,822/418,292 = 418,292/x
  3. Step 3: Cross multiply
    200,822x = 418,292 × 418,292
  4. Step 4: Simplify right side
    200,822x = 174,968,197,264
  5. Step 5: Solve for x
    x = 174,968,197,264/200,822
  6. Step 6: Final answer
    x = 871,260.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.