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Finding the Third Proportional to 200,284 and 309,257

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Solution

The third proportional to 200,284 and 309,257 is: 477,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284 : 309,257 = 309,257 : x
  2. Step 2: Convert to fraction form
    200,284/309,257 = 309,257/x
  3. Step 3: Cross multiply
    200,284x = 309,257 × 309,257
  4. Step 4: Simplify right side
    200,284x = 95,639,892,049
  5. Step 5: Solve for x
    x = 95,639,892,049/200,284
  6. Step 6: Final answer
    x = 477,521.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.