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Finding the Third Proportional to 489.87 and 758.82

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Solution

The third proportional to 489.87 and 758.82 is: 1,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.87 : 758.82 = 758.82 : x
  2. Step 2: Convert to fraction form
    489.87/758.82 = 758.82/x
  3. Step 3: Cross multiply
    489.87x = 758.82 × 758.82
  4. Step 4: Simplify right side
    489.87x = 575,814.19
  5. Step 5: Solve for x
    x = 575,814.19/489.87
  6. Step 6: Final answer
    x = 1,175.45

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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.