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Finding the Third Proportional to 322,585 and 728,412

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Solution

The third proportional to 322,585 and 728,412 is: 1,644,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,585 : 728,412 = 728,412 : x
  2. Step 2: Convert to fraction form
    322,585/728,412 = 728,412/x
  3. Step 3: Cross multiply
    322,585x = 728,412 × 728,412
  4. Step 4: Simplify right side
    322,585x = 530,584,041,744
  5. Step 5: Solve for x
    x = 530,584,041,744/322,585
  6. Step 6: Final answer
    x = 1,644,788.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.