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Finding the Third Proportional to 201,916.50 and 311,298

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Solution

The third proportional to 201,916.50 and 311,298 is: 479,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,916.50 : 311,298 = 311,298 : x
  2. Step 2: Convert to fraction form
    201,916.50/311,298 = 311,298/x
  3. Step 3: Cross multiply
    201,916.50x = 311,298 × 311,298
  4. Step 4: Simplify right side
    201,916.50x = 96,906,444,804
  5. Step 5: Solve for x
    x = 96,906,444,804/201,916.50
  6. Step 6: Final answer
    x = 479,933.26

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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.