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Finding the Third Proportional to 312,300 and 694,472

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Solution

The third proportional to 312,300 and 694,472 is: 1,544,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,300 : 694,472 = 694,472 : x
  2. Step 2: Convert to fraction form
    312,300/694,472 = 694,472/x
  3. Step 3: Cross multiply
    312,300x = 694,472 × 694,472
  4. Step 4: Simplify right side
    312,300x = 482,291,358,784
  5. Step 5: Solve for x
    x = 482,291,358,784/312,300
  6. Step 6: Final answer
    x = 1,544,320.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.