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Finding the Third Proportional to 459.42 and 687.87

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Solution

The third proportional to 459.42 and 687.87 is: 1,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 687.87 = 687.87 : x
  2. Step 2: Convert to fraction form
    459.42/687.87 = 687.87/x
  3. Step 3: Cross multiply
    459.42x = 687.87 × 687.87
  4. Step 4: Simplify right side
    459.42x = 473,161.27
  5. Step 5: Solve for x
    x = 473,161.27/459.42
  6. Step 6: Final answer
    x = 1,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.