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Finding the Third Proportional to 579.45 and 898.59

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Solution

The third proportional to 579.45 and 898.59 is: 1,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.45 : 898.59 = 898.59 : x
  2. Step 2: Convert to fraction form
    579.45/898.59 = 898.59/x
  3. Step 3: Cross multiply
    579.45x = 898.59 × 898.59
  4. Step 4: Simplify right side
    579.45x = 807,470.73
  5. Step 5: Solve for x
    x = 807,470.73/579.45
  6. Step 6: Final answer
    x = 1,393.52

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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.