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Finding the Third Proportional to 579.50 and 898.38

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Solution

The third proportional to 579.50 and 898.38 is: 1,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.50 : 898.38 = 898.38 : x
  2. Step 2: Convert to fraction form
    579.50/898.38 = 898.38/x
  3. Step 3: Cross multiply
    579.50x = 898.38 × 898.38
  4. Step 4: Simplify right side
    579.50x = 807,077.64
  5. Step 5: Solve for x
    x = 807,077.64/579.50
  6. Step 6: Final answer
    x = 1,392.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.