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Finding the Third Proportional to 151,740 and 331,506

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Solution

The third proportional to 151,740 and 331,506 is: 724,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,740 : 331,506 = 331,506 : x
  2. Step 2: Convert to fraction form
    151,740/331,506 = 331,506/x
  3. Step 3: Cross multiply
    151,740x = 331,506 × 331,506
  4. Step 4: Simplify right side
    151,740x = 109,896,228,036
  5. Step 5: Solve for x
    x = 109,896,228,036/151,740
  6. Step 6: Final answer
    x = 724,240.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.