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Finding the Third Proportional to 551.02 and 828.67

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Solution

The third proportional to 551.02 and 828.67 is: 1,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.02 : 828.67 = 828.67 : x
  2. Step 2: Convert to fraction form
    551.02/828.67 = 828.67/x
  3. Step 3: Cross multiply
    551.02x = 828.67 × 828.67
  4. Step 4: Simplify right side
    551.02x = 686,690.60
  5. Step 5: Solve for x
    x = 686,690.60/551.02
  6. Step 6: Final answer
    x = 1,246.21

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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.