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Finding the Third Proportional to 521 and 664

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Solution

The third proportional to 521 and 664 is: 846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 664 = 664 : x
  2. Step 2: Convert to fraction form
    521/664 = 664/x
  3. Step 3: Cross multiply
    521x = 664 × 664
  4. Step 4: Simplify right side
    521x = 440,896
  5. Step 5: Solve for x
    x = 440,896/521
  6. Step 6: Final answer
    x = 846.25

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.