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Finding the Third Proportional to 131,784 and 284,304

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Solution

The third proportional to 131,784 and 284,304 is: 613,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,784 : 284,304 = 284,304 : x
  2. Step 2: Convert to fraction form
    131,784/284,304 = 284,304/x
  3. Step 3: Cross multiply
    131,784x = 284,304 × 284,304
  4. Step 4: Simplify right side
    131,784x = 80,828,764,416
  5. Step 5: Solve for x
    x = 80,828,764,416/131,784
  6. Step 6: Final answer
    x = 613,342.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.