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Finding the Third Proportional to 311,210 and 494,031

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Solution

The third proportional to 311,210 and 494,031 is: 784,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,210 : 494,031 = 494,031 : x
  2. Step 2: Convert to fraction form
    311,210/494,031 = 494,031/x
  3. Step 3: Cross multiply
    311,210x = 494,031 × 494,031
  4. Step 4: Simplify right side
    311,210x = 244,066,628,961
  5. Step 5: Solve for x
    x = 244,066,628,961/311,210
  6. Step 6: Final answer
    x = 784,250.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.