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Finding the Third Proportional to 135,972 and 300,132

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Solution

The third proportional to 135,972 and 300,132 is: 662,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972 : 300,132 = 300,132 : x
  2. Step 2: Convert to fraction form
    135,972/300,132 = 300,132/x
  3. Step 3: Cross multiply
    135,972x = 300,132 × 300,132
  4. Step 4: Simplify right side
    135,972x = 90,079,217,424
  5. Step 5: Solve for x
    x = 90,079,217,424/135,972
  6. Step 6: Final answer
    x = 662,483.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.