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Finding the Third Proportional to 298,776 and 642,864

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Solution

The third proportional to 298,776 and 642,864 is: 1,383,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,776 : 642,864 = 642,864 : x
  2. Step 2: Convert to fraction form
    298,776/642,864 = 642,864/x
  3. Step 3: Cross multiply
    298,776x = 642,864 × 642,864
  4. Step 4: Simplify right side
    298,776x = 413,274,122,496
  5. Step 5: Solve for x
    x = 413,274,122,496/298,776
  6. Step 6: Final answer
    x = 1,383,223.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.