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Finding the Third Proportional to 68,181.43 and 149,897.78

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Solution

The third proportional to 68,181.43 and 149,897.78 is: 329,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181.43 : 149,897.78 = 149,897.78 : x
  2. Step 2: Convert to fraction form
    68,181.43/149,897.78 = 149,897.78/x
  3. Step 3: Cross multiply
    68,181.43x = 149,897.78 × 149,897.78
  4. Step 4: Simplify right side
    68,181.43x = 22,469,343,652.60
  5. Step 5: Solve for x
    x = 22,469,343,652.60/68,181.43
  6. Step 6: Final answer
    x = 329,552.23

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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.