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Finding the Third Proportional to 551.13 and 850.38

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Solution

The third proportional to 551.13 and 850.38 is: 1,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.13 : 850.38 = 850.38 : x
  2. Step 2: Convert to fraction form
    551.13/850.38 = 850.38/x
  3. Step 3: Cross multiply
    551.13x = 850.38 × 850.38
  4. Step 4: Simplify right side
    551.13x = 723,137.64
  5. Step 5: Solve for x
    x = 723,137.64/551.13
  6. Step 6: Final answer
    x = 1,312.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.