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Finding the Third Proportional to 205,990 and 275,897

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Solution

The third proportional to 205,990 and 275,897 is: 369,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,990 : 275,897 = 275,897 : x
  2. Step 2: Convert to fraction form
    205,990/275,897 = 275,897/x
  3. Step 3: Cross multiply
    205,990x = 275,897 × 275,897
  4. Step 4: Simplify right side
    205,990x = 76,119,154,609
  5. Step 5: Solve for x
    x = 76,119,154,609/205,990
  6. Step 6: Final answer
    x = 369,528.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.