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Finding the Third Proportional to 537 and 579

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Solution

The third proportional to 537 and 579 is: 624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 579 = 579 : x
  2. Step 2: Convert to fraction form
    537/579 = 579/x
  3. Step 3: Cross multiply
    537x = 579 × 579
  4. Step 4: Simplify right side
    537x = 335,241
  5. Step 5: Solve for x
    x = 335,241/537
  6. Step 6: Final answer
    x = 624.28

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.