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Finding the Third Proportional to 311.88 and 710.94

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Solution

The third proportional to 311.88 and 710.94 is: 1,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 710.94 = 710.94 : x
  2. Step 2: Convert to fraction form
    311.88/710.94 = 710.94/x
  3. Step 3: Cross multiply
    311.88x = 710.94 × 710.94
  4. Step 4: Simplify right side
    311.88x = 505,432.13
  5. Step 5: Solve for x
    x = 505,432.13/311.88
  6. Step 6: Final answer
    x = 1,620.62

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.