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Finding the Third Proportional to 201,810 and 315,891

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Solution

The third proportional to 201,810 and 315,891 is: 494,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810 : 315,891 = 315,891 : x
  2. Step 2: Convert to fraction form
    201,810/315,891 = 315,891/x
  3. Step 3: Cross multiply
    201,810x = 315,891 × 315,891
  4. Step 4: Simplify right side
    201,810x = 99,787,123,881
  5. Step 5: Solve for x
    x = 99,787,123,881/201,810
  6. Step 6: Final answer
    x = 494,460.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.