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Finding the Third Proportional to 205,942 and 328,897

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Solution

The third proportional to 205,942 and 328,897 is: 525,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,942 : 328,897 = 328,897 : x
  2. Step 2: Convert to fraction form
    205,942/328,897 = 328,897/x
  3. Step 3: Cross multiply
    205,942x = 328,897 × 328,897
  4. Step 4: Simplify right side
    205,942x = 108,173,236,609
  5. Step 5: Solve for x
    x = 108,173,236,609/205,942
  6. Step 6: Final answer
    x = 525,260.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.