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Finding the Third Proportional to 210,268 and 317,589

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Solution

The third proportional to 210,268 and 317,589 is: 479,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,268 : 317,589 = 317,589 : x
  2. Step 2: Convert to fraction form
    210,268/317,589 = 317,589/x
  3. Step 3: Cross multiply
    210,268x = 317,589 × 317,589
  4. Step 4: Simplify right side
    210,268x = 100,862,772,921
  5. Step 5: Solve for x
    x = 100,862,772,921/210,268
  6. Step 6: Final answer
    x = 479,686.75

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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.