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Finding the Third Proportional to 549.84 and 810.09

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Solution

The third proportional to 549.84 and 810.09 is: 1,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 810.09 = 810.09 : x
  2. Step 2: Convert to fraction form
    549.84/810.09 = 810.09/x
  3. Step 3: Cross multiply
    549.84x = 810.09 × 810.09
  4. Step 4: Simplify right side
    549.84x = 656,251.88
  5. Step 5: Solve for x
    x = 656,251.88/549.84
  6. Step 6: Final answer
    x = 1,193.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.