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Finding the Third Proportional to 311,662 and 483,531

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Solution

The third proportional to 311,662 and 483,531 is: 750,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,662 : 483,531 = 483,531 : x
  2. Step 2: Convert to fraction form
    311,662/483,531 = 483,531/x
  3. Step 3: Cross multiply
    311,662x = 483,531 × 483,531
  4. Step 4: Simplify right side
    311,662x = 233,802,227,961
  5. Step 5: Solve for x
    x = 233,802,227,961/311,662
  6. Step 6: Final answer
    x = 750,178.81

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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.