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Finding the Third Proportional to 350.94 and 647.88

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Solution

The third proportional to 350.94 and 647.88 is: 1,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 647.88 = 647.88 : x
  2. Step 2: Convert to fraction form
    350.94/647.88 = 647.88/x
  3. Step 3: Cross multiply
    350.94x = 647.88 × 647.88
  4. Step 4: Simplify right side
    350.94x = 419,742.02
  5. Step 5: Solve for x
    x = 419,742.02/350.94
  6. Step 6: Final answer
    x = 1,196.06

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.