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Finding the Third Proportional to 551.25 and 886.25

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Solution

The third proportional to 551.25 and 886.25 is: 1,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.25 : 886.25 = 886.25 : x
  2. Step 2: Convert to fraction form
    551.25/886.25 = 886.25/x
  3. Step 3: Cross multiply
    551.25x = 886.25 × 886.25
  4. Step 4: Simplify right side
    551.25x = 785,439.06
  5. Step 5: Solve for x
    x = 785,439.06/551.25
  6. Step 6: Final answer
    x = 1,424.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.