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Finding the Third Proportional to 201,310 and 311,306

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Solution

The third proportional to 201,310 and 311,306 is: 481,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310 : 311,306 = 311,306 : x
  2. Step 2: Convert to fraction form
    201,310/311,306 = 311,306/x
  3. Step 3: Cross multiply
    201,310x = 311,306 × 311,306
  4. Step 4: Simplify right side
    201,310x = 96,911,425,636
  5. Step 5: Solve for x
    x = 96,911,425,636/201,310
  6. Step 6: Final answer
    x = 481,403.93

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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.