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Finding the Third Proportional to 472.69 and 693.19

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Solution

The third proportional to 472.69 and 693.19 is: 1,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.69 : 693.19 = 693.19 : x
  2. Step 2: Convert to fraction form
    472.69/693.19 = 693.19/x
  3. Step 3: Cross multiply
    472.69x = 693.19 × 693.19
  4. Step 4: Simplify right side
    472.69x = 480,508.91
  5. Step 5: Solve for x
    x = 480,508.91/472.69
  6. Step 6: Final answer
    x = 1,016.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.