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Finding the Third Proportional to 210,084 and 317,626

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Solution

The third proportional to 210,084 and 317,626 is: 480,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084 : 317,626 = 317,626 : x
  2. Step 2: Convert to fraction form
    210,084/317,626 = 317,626/x
  3. Step 3: Cross multiply
    210,084x = 317,626 × 317,626
  4. Step 4: Simplify right side
    210,084x = 100,886,275,876
  5. Step 5: Solve for x
    x = 100,886,275,876/210,084
  6. Step 6: Final answer
    x = 480,218.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.