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Finding the Third Proportional to 522.07 and 809.68

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Solution

The third proportional to 522.07 and 809.68 is: 1,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.07 : 809.68 = 809.68 : x
  2. Step 2: Convert to fraction form
    522.07/809.68 = 809.68/x
  3. Step 3: Cross multiply
    522.07x = 809.68 × 809.68
  4. Step 4: Simplify right side
    522.07x = 655,587.52
  5. Step 5: Solve for x
    x = 655,587.52/522.07
  6. Step 6: Final answer
    x = 1,255.75

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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.