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Finding the Third Proportional to 492.68 and 742.64

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Solution

The third proportional to 492.68 and 742.64 is: 1,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.68 : 742.64 = 742.64 : x
  2. Step 2: Convert to fraction form
    492.68/742.64 = 742.64/x
  3. Step 3: Cross multiply
    492.68x = 742.64 × 742.64
  4. Step 4: Simplify right side
    492.68x = 551,515.10
  5. Step 5: Solve for x
    x = 551,515.10/492.68
  6. Step 6: Final answer
    x = 1,119.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.