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Finding the Third Proportional to 205,596 and 322,592

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Solution

The third proportional to 205,596 and 322,592 is: 506,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 322,592 = 322,592 : x
  2. Step 2: Convert to fraction form
    205,596/322,592 = 322,592/x
  3. Step 3: Cross multiply
    205,596x = 322,592 × 322,592
  4. Step 4: Simplify right side
    205,596x = 104,065,598,464
  5. Step 5: Solve for x
    x = 104,065,598,464/205,596
  6. Step 6: Final answer
    x = 506,165.48

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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.