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Finding the Third Proportional to 31,181.34 and 68,590.97

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Solution

The third proportional to 31,181.34 and 68,590.97 is: 150,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.34 : 68,590.97 = 68,590.97 : x
  2. Step 2: Convert to fraction form
    31,181.34/68,590.97 = 68,590.97/x
  3. Step 3: Cross multiply
    31,181.34x = 68,590.97 × 68,590.97
  4. Step 4: Simplify right side
    31,181.34x = 4,704,720,994.06
  5. Step 5: Solve for x
    x = 4,704,720,994.06/31,181.34
  6. Step 6: Final answer
    x = 150,882.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.