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Finding the Third Proportional to 459.84 and 683.65

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Solution

The third proportional to 459.84 and 683.65 is: 1,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 683.65 = 683.65 : x
  2. Step 2: Convert to fraction form
    459.84/683.65 = 683.65/x
  3. Step 3: Cross multiply
    459.84x = 683.65 × 683.65
  4. Step 4: Simplify right side
    459.84x = 467,375.19
  5. Step 5: Solve for x
    x = 467,375.19/459.84
  6. Step 6: Final answer
    x = 1,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.