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Finding the Third Proportional to 387,222 and 838,800

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Solution

The third proportional to 387,222 and 838,800 is: 1,817,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,222 : 838,800 = 838,800 : x
  2. Step 2: Convert to fraction form
    387,222/838,800 = 838,800/x
  3. Step 3: Cross multiply
    387,222x = 838,800 × 838,800
  4. Step 4: Simplify right side
    387,222x = 703,585,440,000
  5. Step 5: Solve for x
    x = 703,585,440,000/387,222
  6. Step 6: Final answer
    x = 1,817,007.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.