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Finding the Third Proportional to 313,370 and 739,612

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Solution

The third proportional to 313,370 and 739,612 is: 1,745,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,370 : 739,612 = 739,612 : x
  2. Step 2: Convert to fraction form
    313,370/739,612 = 739,612/x
  3. Step 3: Cross multiply
    313,370x = 739,612 × 739,612
  4. Step 4: Simplify right side
    313,370x = 547,025,910,544
  5. Step 5: Solve for x
    x = 547,025,910,544/313,370
  6. Step 6: Final answer
    x = 1,745,623.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.