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Finding the Third Proportional to 492.19 and 759.66

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Solution

The third proportional to 492.19 and 759.66 is: 1,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 759.66 = 759.66 : x
  2. Step 2: Convert to fraction form
    492.19/759.66 = 759.66/x
  3. Step 3: Cross multiply
    492.19x = 759.66 × 759.66
  4. Step 4: Simplify right side
    492.19x = 577,077.62
  5. Step 5: Solve for x
    x = 577,077.62/492.19
  6. Step 6: Final answer
    x = 1,172.48

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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.