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Finding the Third Proportional to 68,035 and 147,721

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Solution

The third proportional to 68,035 and 147,721 is: 320,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,035 : 147,721 = 147,721 : x
  2. Step 2: Convert to fraction form
    68,035/147,721 = 147,721/x
  3. Step 3: Cross multiply
    68,035x = 147,721 × 147,721
  4. Step 4: Simplify right side
    68,035x = 21,821,493,841
  5. Step 5: Solve for x
    x = 21,821,493,841/68,035
  6. Step 6: Final answer
    x = 320,739.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.