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Finding the Third Proportional to 68,085 and 149,607

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Solution

The third proportional to 68,085 and 149,607 is: 328,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,085 : 149,607 = 149,607 : x
  2. Step 2: Convert to fraction form
    68,085/149,607 = 149,607/x
  3. Step 3: Cross multiply
    68,085x = 149,607 × 149,607
  4. Step 4: Simplify right side
    68,085x = 22,382,254,449
  5. Step 5: Solve for x
    x = 22,382,254,449/68,085
  6. Step 6: Final answer
    x = 328,739.88

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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.