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Finding the Third Proportional to 201,316 and 311,315

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Solution

The third proportional to 201,316 and 311,315 is: 481,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316 : 311,315 = 311,315 : x
  2. Step 2: Convert to fraction form
    201,316/311,315 = 311,315/x
  3. Step 3: Cross multiply
    201,316x = 311,315 × 311,315
  4. Step 4: Simplify right side
    201,316x = 96,917,029,225
  5. Step 5: Solve for x
    x = 96,917,029,225/201,316
  6. Step 6: Final answer
    x = 481,417.42

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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.