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Finding the Third Proportional to 31,995 and 68,897

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Solution

The third proportional to 31,995 and 68,897 is: 148,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995 : 68,897 = 68,897 : x
  2. Step 2: Convert to fraction form
    31,995/68,897 = 68,897/x
  3. Step 3: Cross multiply
    31,995x = 68,897 × 68,897
  4. Step 4: Simplify right side
    31,995x = 4,746,796,609
  5. Step 5: Solve for x
    x = 4,746,796,609/31,995
  6. Step 6: Final answer
    x = 148,360.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.