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Finding the Third Proportional to 311,286 and 474,705

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Solution

The third proportional to 311,286 and 474,705 is: 723,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,286 : 474,705 = 474,705 : x
  2. Step 2: Convert to fraction form
    311,286/474,705 = 474,705/x
  3. Step 3: Cross multiply
    311,286x = 474,705 × 474,705
  4. Step 4: Simplify right side
    311,286x = 225,344,837,025
  5. Step 5: Solve for x
    x = 225,344,837,025/311,286
  6. Step 6: Final answer
    x = 723,915.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.