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Finding the Third Proportional to 505.62 and 683.12

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Solution

The third proportional to 505.62 and 683.12 is: 922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 683.12 = 683.12 : x
  2. Step 2: Convert to fraction form
    505.62/683.12 = 683.12/x
  3. Step 3: Cross multiply
    505.62x = 683.12 × 683.12
  4. Step 4: Simplify right side
    505.62x = 466,654.43
  5. Step 5: Solve for x
    x = 466,654.43/505.62
  6. Step 6: Final answer
    x = 922.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.