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Finding the Third Proportional to 551.38 and 808.69

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Solution

The third proportional to 551.38 and 808.69 is: 1,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.38 : 808.69 = 808.69 : x
  2. Step 2: Convert to fraction form
    551.38/808.69 = 808.69/x
  3. Step 3: Cross multiply
    551.38x = 808.69 × 808.69
  4. Step 4: Simplify right side
    551.38x = 653,975.47
  5. Step 5: Solve for x
    x = 653,975.47/551.38
  6. Step 6: Final answer
    x = 1,186.08

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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.