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Finding the Third Proportional to 200,787 and 418,209

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Solution

The third proportional to 200,787 and 418,209 is: 871,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,787 : 418,209 = 418,209 : x
  2. Step 2: Convert to fraction form
    200,787/418,209 = 418,209/x
  3. Step 3: Cross multiply
    200,787x = 418,209 × 418,209
  4. Step 4: Simplify right side
    200,787x = 174,898,767,681
  5. Step 5: Solve for x
    x = 174,898,767,681/200,787
  6. Step 6: Final answer
    x = 871,066.19

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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.