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Finding the Third Proportional to 320,138 and 694,540

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Solution

The third proportional to 320,138 and 694,540 is: 1,506,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,138 : 694,540 = 694,540 : x
  2. Step 2: Convert to fraction form
    320,138/694,540 = 694,540/x
  3. Step 3: Cross multiply
    320,138x = 694,540 × 694,540
  4. Step 4: Simplify right side
    320,138x = 482,385,811,600
  5. Step 5: Solve for x
    x = 482,385,811,600/320,138
  6. Step 6: Final answer
    x = 1,506,805.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.