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Finding the Third Proportional to 98,853 and 205,897

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Solution

The third proportional to 98,853 and 205,897 is: 428,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,853 : 205,897 = 205,897 : x
  2. Step 2: Convert to fraction form
    98,853/205,897 = 205,897/x
  3. Step 3: Cross multiply
    98,853x = 205,897 × 205,897
  4. Step 4: Simplify right side
    98,853x = 42,393,574,609
  5. Step 5: Solve for x
    x = 42,393,574,609/98,853
  6. Step 6: Final answer
    x = 428,854.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.