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Finding the Third Proportional to 289.04 and 459.90

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Solution

The third proportional to 289.04 and 459.90 is: 731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 459.90 = 459.90 : x
  2. Step 2: Convert to fraction form
    289.04/459.90 = 459.90/x
  3. Step 3: Cross multiply
    289.04x = 459.90 × 459.90
  4. Step 4: Simplify right side
    289.04x = 211,504.78
  5. Step 5: Solve for x
    x = 211,504.78/289.04
  6. Step 6: Final answer
    x = 731.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.