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Finding the Third Proportional to 369.56 and 579.84

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Solution

The third proportional to 369.56 and 579.84 is: 909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 579.84 = 579.84 : x
  2. Step 2: Convert to fraction form
    369.56/579.84 = 579.84/x
  3. Step 3: Cross multiply
    369.56x = 579.84 × 579.84
  4. Step 4: Simplify right side
    369.56x = 336,218.77
  5. Step 5: Solve for x
    x = 336,218.77/369.56
  6. Step 6: Final answer
    x = 909.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.