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Finding the Third Proportional to 108,309 and 161,562

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Solution

The third proportional to 108,309 and 161,562 is: 240,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,309 : 161,562 = 161,562 : x
  2. Step 2: Convert to fraction form
    108,309/161,562 = 161,562/x
  3. Step 3: Cross multiply
    108,309x = 161,562 × 161,562
  4. Step 4: Simplify right side
    108,309x = 26,102,279,844
  5. Step 5: Solve for x
    x = 26,102,279,844/108,309
  6. Step 6: Final answer
    x = 240,998.25

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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.