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Finding the Third Proportional to 554.50 and 831.69

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Solution

The third proportional to 554.50 and 831.69 is: 1,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 831.69 = 831.69 : x
  2. Step 2: Convert to fraction form
    554.50/831.69 = 831.69/x
  3. Step 3: Cross multiply
    554.50x = 831.69 × 831.69
  4. Step 4: Simplify right side
    554.50x = 691,704.10
  5. Step 5: Solve for x
    x = 691,704.10/554.50
  6. Step 6: Final answer
    x = 1,247.44

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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.