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Finding the Third Proportional to 511.45 and 549.84

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Solution

The third proportional to 511.45 and 549.84 is: 591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 549.84 = 549.84 : x
  2. Step 2: Convert to fraction form
    511.45/549.84 = 549.84/x
  3. Step 3: Cross multiply
    511.45x = 549.84 × 549.84
  4. Step 4: Simplify right side
    511.45x = 302,328.15
  5. Step 5: Solve for x
    x = 302,328.15/511.45
  6. Step 6: Final answer
    x = 591.12

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.