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Finding the Third Proportional to 292.57 and 447.40

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Solution

The third proportional to 292.57 and 447.40 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.57 : 447.40 = 447.40 : x
  2. Step 2: Convert to fraction form
    292.57/447.40 = 447.40/x
  3. Step 3: Cross multiply
    292.57x = 447.40 × 447.40
  4. Step 4: Simplify right side
    292.57x = 200,165.36
  5. Step 5: Solve for x
    x = 200,165.36/292.57
  6. Step 6: Final answer
    x = 684.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.