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Finding the Third Proportional to 252,740 and 380,136

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Solution

The third proportional to 252,740 and 380,136 is: 571,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,740 : 380,136 = 380,136 : x
  2. Step 2: Convert to fraction form
    252,740/380,136 = 380,136/x
  3. Step 3: Cross multiply
    252,740x = 380,136 × 380,136
  4. Step 4: Simplify right side
    252,740x = 144,503,378,496
  5. Step 5: Solve for x
    x = 144,503,378,496/252,740
  6. Step 6: Final answer
    x = 571,747.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.