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Finding the Third Proportional to 204,002 and 316,659

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Solution

The third proportional to 204,002 and 316,659 is: 491,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002 : 316,659 = 316,659 : x
  2. Step 2: Convert to fraction form
    204,002/316,659 = 316,659/x
  3. Step 3: Cross multiply
    204,002x = 316,659 × 316,659
  4. Step 4: Simplify right side
    204,002x = 100,272,922,281
  5. Step 5: Solve for x
    x = 100,272,922,281/204,002
  6. Step 6: Final answer
    x = 491,529.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.