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Finding the Third Proportional to 108,162 and 161,343

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Solution

The third proportional to 108,162 and 161,343 is: 240,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,162 : 161,343 = 161,343 : x
  2. Step 2: Convert to fraction form
    108,162/161,343 = 161,343/x
  3. Step 3: Cross multiply
    108,162x = 161,343 × 161,343
  4. Step 4: Simplify right side
    108,162x = 26,031,563,649
  5. Step 5: Solve for x
    x = 26,031,563,649/108,162
  6. Step 6: Final answer
    x = 240,671.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.