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Finding the Third Proportional to 200,346 and 286,474

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Solution

The third proportional to 200,346 and 286,474 is: 409,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,346 : 286,474 = 286,474 : x
  2. Step 2: Convert to fraction form
    200,346/286,474 = 286,474/x
  3. Step 3: Cross multiply
    200,346x = 286,474 × 286,474
  4. Step 4: Simplify right side
    200,346x = 82,067,352,676
  5. Step 5: Solve for x
    x = 82,067,352,676/200,346
  6. Step 6: Final answer
    x = 409,628.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.