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Finding the Third Proportional to 200,789 and 418,213

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Solution

The third proportional to 200,789 and 418,213 is: 871,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,789 : 418,213 = 418,213 : x
  2. Step 2: Convert to fraction form
    200,789/418,213 = 418,213/x
  3. Step 3: Cross multiply
    200,789x = 418,213 × 418,213
  4. Step 4: Simplify right side
    200,789x = 174,902,113,369
  5. Step 5: Solve for x
    x = 174,902,113,369/200,789
  6. Step 6: Final answer
    x = 871,074.18

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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.