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Finding the Third Proportional to 205,614 and 322,621

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Solution

The third proportional to 205,614 and 322,621 is: 506,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,614 : 322,621 = 322,621 : x
  2. Step 2: Convert to fraction form
    205,614/322,621 = 322,621/x
  3. Step 3: Cross multiply
    205,614x = 322,621 × 322,621
  4. Step 4: Simplify right side
    205,614x = 104,084,309,641
  5. Step 5: Solve for x
    x = 104,084,309,641/205,614
  6. Step 6: Final answer
    x = 506,212.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.