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Finding the Third Proportional to 387,306 and 844,704

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Solution

The third proportional to 387,306 and 844,704 is: 1,842,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,306 : 844,704 = 844,704 : x
  2. Step 2: Convert to fraction form
    387,306/844,704 = 844,704/x
  3. Step 3: Cross multiply
    387,306x = 844,704 × 844,704
  4. Step 4: Simplify right side
    387,306x = 713,524,847,616
  5. Step 5: Solve for x
    x = 713,524,847,616/387,306
  6. Step 6: Final answer
    x = 1,842,276.77

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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.