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Finding the Third Proportional to 305.16 and 452.04

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Solution

The third proportional to 305.16 and 452.04 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 452.04 = 452.04 : x
  2. Step 2: Convert to fraction form
    305.16/452.04 = 452.04/x
  3. Step 3: Cross multiply
    305.16x = 452.04 × 452.04
  4. Step 4: Simplify right side
    305.16x = 204,339.31
  5. Step 5: Solve for x
    x = 204,339.31/305.16
  6. Step 6: Final answer
    x = 669.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.