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Finding the Third Proportional to 522.25 and 746.38

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Solution

The third proportional to 522.25 and 746.38 is: 1,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.25 : 746.38 = 746.38 : x
  2. Step 2: Convert to fraction form
    522.25/746.38 = 746.38/x
  3. Step 3: Cross multiply
    522.25x = 746.38 × 746.38
  4. Step 4: Simplify right side
    522.25x = 557,075.64
  5. Step 5: Solve for x
    x = 557,075.64/522.25
  6. Step 6: Final answer
    x = 1,066.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.