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Finding the Third Proportional to 75,714 and 161,140

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Solution

The third proportional to 75,714 and 161,140 is: 342,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714 : 161,140 = 161,140 : x
  2. Step 2: Convert to fraction form
    75,714/161,140 = 161,140/x
  3. Step 3: Cross multiply
    75,714x = 161,140 × 161,140
  4. Step 4: Simplify right side
    75,714x = 25,966,099,600
  5. Step 5: Solve for x
    x = 25,966,099,600/75,714
  6. Step 6: Final answer
    x = 342,949.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.