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Finding the Third Proportional to 201,072 and 311,544

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Solution

The third proportional to 201,072 and 311,544 is: 482,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072 : 311,544 = 311,544 : x
  2. Step 2: Convert to fraction form
    201,072/311,544 = 311,544/x
  3. Step 3: Cross multiply
    201,072x = 311,544 × 311,544
  4. Step 4: Simplify right side
    201,072x = 97,059,663,936
  5. Step 5: Solve for x
    x = 97,059,663,936/201,072
  6. Step 6: Final answer
    x = 482,710.99

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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.