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Finding the Third Proportional to 311,980 and 473,800

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Solution

The third proportional to 311,980 and 473,800 is: 719,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980 : 473,800 = 473,800 : x
  2. Step 2: Convert to fraction form
    311,980/473,800 = 473,800/x
  3. Step 3: Cross multiply
    311,980x = 473,800 × 473,800
  4. Step 4: Simplify right side
    311,980x = 224,486,440,000
  5. Step 5: Solve for x
    x = 224,486,440,000/311,980
  6. Step 6: Final answer
    x = 719,553.95

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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.