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Finding the Third Proportional to 497.81 and 683.53

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Solution

The third proportional to 497.81 and 683.53 is: 938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 683.53 = 683.53 : x
  2. Step 2: Convert to fraction form
    497.81/683.53 = 683.53/x
  3. Step 3: Cross multiply
    497.81x = 683.53 × 683.53
  4. Step 4: Simplify right side
    497.81x = 467,214.97
  5. Step 5: Solve for x
    x = 467,214.97/497.81
  6. Step 6: Final answer
    x = 938.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.