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Finding the Third Proportional to 487.69 and 758.53

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Solution

The third proportional to 487.69 and 758.53 is: 1,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.69 : 758.53 = 758.53 : x
  2. Step 2: Convert to fraction form
    487.69/758.53 = 758.53/x
  3. Step 3: Cross multiply
    487.69x = 758.53 × 758.53
  4. Step 4: Simplify right side
    487.69x = 575,369.66
  5. Step 5: Solve for x
    x = 575,369.66/487.69
  6. Step 6: Final answer
    x = 1,179.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.