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Finding the Third Proportional to 459 and 711.19

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Solution

The third proportional to 459 and 711.19 is: 1,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 711.19 = 711.19 : x
  2. Step 2: Convert to fraction form
    459/711.19 = 711.19/x
  3. Step 3: Cross multiply
    459x = 711.19 × 711.19
  4. Step 4: Simplify right side
    459x = 505,787.66
  5. Step 5: Solve for x
    x = 505,787.66/459
  6. Step 6: Final answer
    x = 1,101.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.