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Finding the Third Proportional to 472.38 and 723.63

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Solution

The third proportional to 472.38 and 723.63 is: 1,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 723.63 = 723.63 : x
  2. Step 2: Convert to fraction form
    472.38/723.63 = 723.63/x
  3. Step 3: Cross multiply
    472.38x = 723.63 × 723.63
  4. Step 4: Simplify right side
    472.38x = 523,633.14
  5. Step 5: Solve for x
    x = 523,633.14/472.38
  6. Step 6: Final answer
    x = 1,108.51

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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.