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Finding the Third Proportional to 390.48 and 579.85

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Solution

The third proportional to 390.48 and 579.85 is: 861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 579.85 = 579.85 : x
  2. Step 2: Convert to fraction form
    390.48/579.85 = 579.85/x
  3. Step 3: Cross multiply
    390.48x = 579.85 × 579.85
  4. Step 4: Simplify right side
    390.48x = 336,230.67
  5. Step 5: Solve for x
    x = 336,230.67/390.48
  6. Step 6: Final answer
    x = 861.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.