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Finding the Third Proportional to 204,621 and 315,680

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Solution

The third proportional to 204,621 and 315,680 is: 487,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,621 : 315,680 = 315,680 : x
  2. Step 2: Convert to fraction form
    204,621/315,680 = 315,680/x
  3. Step 3: Cross multiply
    204,621x = 315,680 × 315,680
  4. Step 4: Simplify right side
    204,621x = 99,653,862,400
  5. Step 5: Solve for x
    x = 99,653,862,400/204,621
  6. Step 6: Final answer
    x = 487,016.79

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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.