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Finding the Third Proportional to 522.19 and 811.94

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Solution

The third proportional to 522.19 and 811.94 is: 1,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.19 : 811.94 = 811.94 : x
  2. Step 2: Convert to fraction form
    522.19/811.94 = 811.94/x
  3. Step 3: Cross multiply
    522.19x = 811.94 × 811.94
  4. Step 4: Simplify right side
    522.19x = 659,243.30
  5. Step 5: Solve for x
    x = 659,243.30/522.19
  6. Step 6: Final answer
    x = 1,262.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.