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Finding the Third Proportional to 311,864 and 656,328

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Solution

The third proportional to 311,864 and 656,328 is: 1,381,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864 : 656,328 = 656,328 : x
  2. Step 2: Convert to fraction form
    311,864/656,328 = 656,328/x
  3. Step 3: Cross multiply
    311,864x = 656,328 × 656,328
  4. Step 4: Simplify right side
    311,864x = 430,766,443,584
  5. Step 5: Solve for x
    x = 430,766,443,584/311,864
  6. Step 6: Final answer
    x = 1,381,263.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.