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Finding the Third Proportional to 522.75 and 785.25

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Solution

The third proportional to 522.75 and 785.25 is: 1,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 785.25 = 785.25 : x
  2. Step 2: Convert to fraction form
    522.75/785.25 = 785.25/x
  3. Step 3: Cross multiply
    522.75x = 785.25 × 785.25
  4. Step 4: Simplify right side
    522.75x = 616,617.56
  5. Step 5: Solve for x
    x = 616,617.56/522.75
  6. Step 6: Final answer
    x = 1,179.56

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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.