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Finding the Third Proportional to 486.19 and 747.28

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Solution

The third proportional to 486.19 and 747.28 is: 1,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.19 : 747.28 = 747.28 : x
  2. Step 2: Convert to fraction form
    486.19/747.28 = 747.28/x
  3. Step 3: Cross multiply
    486.19x = 747.28 × 747.28
  4. Step 4: Simplify right side
    486.19x = 558,429.27
  5. Step 5: Solve for x
    x = 558,429.27/486.19
  6. Step 6: Final answer
    x = 1,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.