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Finding the Third Proportional to 201,040 and 311,416

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Solution

The third proportional to 201,040 and 311,416 is: 482,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,040 : 311,416 = 311,416 : x
  2. Step 2: Convert to fraction form
    201,040/311,416 = 311,416/x
  3. Step 3: Cross multiply
    201,040x = 311,416 × 311,416
  4. Step 4: Simplify right side
    201,040x = 96,979,925,056
  5. Step 5: Solve for x
    x = 96,979,925,056/201,040
  6. Step 6: Final answer
    x = 482,391.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.