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Finding the Third Proportional to 200,814 and 418,276

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Solution

The third proportional to 200,814 and 418,276 is: 871,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814 : 418,276 = 418,276 : x
  2. Step 2: Convert to fraction form
    200,814/418,276 = 418,276/x
  3. Step 3: Cross multiply
    200,814x = 418,276 × 418,276
  4. Step 4: Simplify right side
    200,814x = 174,954,812,176
  5. Step 5: Solve for x
    x = 174,954,812,176/200,814
  6. Step 6: Final answer
    x = 871,228.16

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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.