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Finding the Third Proportional to 200,694 and 309,861

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Solution

The third proportional to 200,694 and 309,861 is: 478,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,694 : 309,861 = 309,861 : x
  2. Step 2: Convert to fraction form
    200,694/309,861 = 309,861/x
  3. Step 3: Cross multiply
    200,694x = 309,861 × 309,861
  4. Step 4: Simplify right side
    200,694x = 96,013,839,321
  5. Step 5: Solve for x
    x = 96,013,839,321/200,694
  6. Step 6: Final answer
    x = 478,409.12

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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.