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Finding the Third Proportional to 347,328 and 756,864

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Solution

The third proportional to 347,328 and 756,864 is: 1,649,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,328 : 756,864 = 756,864 : x
  2. Step 2: Convert to fraction form
    347,328/756,864 = 756,864/x
  3. Step 3: Cross multiply
    347,328x = 756,864 × 756,864
  4. Step 4: Simplify right side
    347,328x = 572,843,114,496
  5. Step 5: Solve for x
    x = 572,843,114,496/347,328
  6. Step 6: Final answer
    x = 1,649,285.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.