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Finding the Third Proportional to 205,508 and 322,464

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Solution

The third proportional to 205,508 and 322,464 is: 505,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,508 : 322,464 = 322,464 : x
  2. Step 2: Convert to fraction form
    205,508/322,464 = 322,464/x
  3. Step 3: Cross multiply
    205,508x = 322,464 × 322,464
  4. Step 4: Simplify right side
    205,508x = 103,983,031,296
  5. Step 5: Solve for x
    x = 103,983,031,296/205,508
  6. Step 6: Final answer
    x = 505,980.45

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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.