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Finding the Third Proportional to 200,344 and 286,471

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Solution

The third proportional to 200,344 and 286,471 is: 409,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344 : 286,471 = 286,471 : x
  2. Step 2: Convert to fraction form
    200,344/286,471 = 286,471/x
  3. Step 3: Cross multiply
    200,344x = 286,471 × 286,471
  4. Step 4: Simplify right side
    200,344x = 82,065,633,841
  5. Step 5: Solve for x
    x = 82,065,633,841/200,344
  6. Step 6: Final answer
    x = 409,623.62

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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.