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Finding the Third Proportional to 487.03 and 755.34

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Solution

The third proportional to 487.03 and 755.34 is: 1,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.03 : 755.34 = 755.34 : x
  2. Step 2: Convert to fraction form
    487.03/755.34 = 755.34/x
  3. Step 3: Cross multiply
    487.03x = 755.34 × 755.34
  4. Step 4: Simplify right side
    487.03x = 570,544.18
  5. Step 5: Solve for x
    x = 570,544.18/487.03
  6. Step 6: Final answer
    x = 1,171.47

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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.