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Finding the Third Proportional to 386.44 and 549.84

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Solution

The third proportional to 386.44 and 549.84 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 549.84 = 549.84 : x
  2. Step 2: Convert to fraction form
    386.44/549.84 = 549.84/x
  3. Step 3: Cross multiply
    386.44x = 549.84 × 549.84
  4. Step 4: Simplify right side
    386.44x = 302,328.15
  5. Step 5: Solve for x
    x = 302,328.15/386.44
  6. Step 6: Final answer
    x = 782.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.