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Finding the Third Proportional to 350.39 and 549.70

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Solution

The third proportional to 350.39 and 549.70 is: 862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.39 : 549.70 = 549.70 : x
  2. Step 2: Convert to fraction form
    350.39/549.70 = 549.70/x
  3. Step 3: Cross multiply
    350.39x = 549.70 × 549.70
  4. Step 4: Simplify right side
    350.39x = 302,173.53
  5. Step 5: Solve for x
    x = 302,173.53/350.39
  6. Step 6: Final answer
    x = 862.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.