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Finding the Third Proportional to 592.10 and 888.26

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Solution

The third proportional to 592.10 and 888.26 is: 1,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.10 : 888.26 = 888.26 : x
  2. Step 2: Convert to fraction form
    592.10/888.26 = 888.26/x
  3. Step 3: Cross multiply
    592.10x = 888.26 × 888.26
  4. Step 4: Simplify right side
    592.10x = 789,001.94
  5. Step 5: Solve for x
    x = 789,001.94/592.10
  6. Step 6: Final answer
    x = 1,332.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.