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Finding the Third Proportional to 459.75 and 575.69

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Solution

The third proportional to 459.75 and 575.69 is: 720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 575.69 = 575.69 : x
  2. Step 2: Convert to fraction form
    459.75/575.69 = 575.69/x
  3. Step 3: Cross multiply
    459.75x = 575.69 × 575.69
  4. Step 4: Simplify right side
    459.75x = 331,416.10
  5. Step 5: Solve for x
    x = 331,416.10/459.75
  6. Step 6: Final answer
    x = 720.86

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.