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Finding the Third Proportional to 455.48 and 683.32

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Solution

The third proportional to 455.48 and 683.32 is: 1,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.48 : 683.32 = 683.32 : x
  2. Step 2: Convert to fraction form
    455.48/683.32 = 683.32/x
  3. Step 3: Cross multiply
    455.48x = 683.32 × 683.32
  4. Step 4: Simplify right side
    455.48x = 466,926.65
  5. Step 5: Solve for x
    x = 466,926.65/455.48
  6. Step 6: Final answer
    x = 1,025.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.