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Finding the Third Proportional to 312,314 and 694,492

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Solution

The third proportional to 312,314 and 694,492 is: 1,544,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,314 : 694,492 = 694,492 : x
  2. Step 2: Convert to fraction form
    312,314/694,492 = 694,492/x
  3. Step 3: Cross multiply
    312,314x = 694,492 × 694,492
  4. Step 4: Simplify right side
    312,314x = 482,319,138,064
  5. Step 5: Solve for x
    x = 482,319,138,064/312,314
  6. Step 6: Final answer
    x = 1,544,340.43

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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.