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Finding the Third Proportional to 201,045 and 311,421

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Solution

The third proportional to 201,045 and 311,421 is: 482,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,045 : 311,421 = 311,421 : x
  2. Step 2: Convert to fraction form
    201,045/311,421 = 311,421/x
  3. Step 3: Cross multiply
    201,045x = 311,421 × 311,421
  4. Step 4: Simplify right side
    201,045x = 96,983,039,241
  5. Step 5: Solve for x
    x = 96,983,039,241/201,045
  6. Step 6: Final answer
    x = 482,394.68

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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.