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Finding the Third Proportional to 109,740 and 162,288

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Solution

The third proportional to 109,740 and 162,288 is: 239,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,740 : 162,288 = 162,288 : x
  2. Step 2: Convert to fraction form
    109,740/162,288 = 162,288/x
  3. Step 3: Cross multiply
    109,740x = 162,288 × 162,288
  4. Step 4: Simplify right side
    109,740x = 26,337,394,944
  5. Step 5: Solve for x
    x = 26,337,394,944/109,740
  6. Step 6: Final answer
    x = 239,998.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.