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Finding the Third Proportional to 311,064 and 642,864

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Solution

The third proportional to 311,064 and 642,864 is: 1,328,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,064 : 642,864 = 642,864 : x
  2. Step 2: Convert to fraction form
    311,064/642,864 = 642,864/x
  3. Step 3: Cross multiply
    311,064x = 642,864 × 642,864
  4. Step 4: Simplify right side
    311,064x = 413,274,122,496
  5. Step 5: Solve for x
    x = 413,274,122,496/311,064
  6. Step 6: Final answer
    x = 1,328,582.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.