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Finding the Third Proportional to 322,840 and 684,128

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Solution

The third proportional to 322,840 and 684,128 is: 1,449,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,840 : 684,128 = 684,128 : x
  2. Step 2: Convert to fraction form
    322,840/684,128 = 684,128/x
  3. Step 3: Cross multiply
    322,840x = 684,128 × 684,128
  4. Step 4: Simplify right side
    322,840x = 468,031,120,384
  5. Step 5: Solve for x
    x = 468,031,120,384/322,840
  6. Step 6: Final answer
    x = 1,449,730.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.