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Finding the Third Proportional to 447.50 and 684.63

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Solution

The third proportional to 447.50 and 684.63 is: 1,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 684.63 = 684.63 : x
  2. Step 2: Convert to fraction form
    447.50/684.63 = 684.63/x
  3. Step 3: Cross multiply
    447.50x = 684.63 × 684.63
  4. Step 4: Simplify right side
    447.50x = 468,711.39
  5. Step 5: Solve for x
    x = 468,711.39/447.50
  6. Step 6: Final answer
    x = 1,047.40

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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.