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Finding the Third Proportional to 247,740 and 379,599

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Solution

The third proportional to 247,740 and 379,599 is: 581,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,740 : 379,599 = 379,599 : x
  2. Step 2: Convert to fraction form
    247,740/379,599 = 379,599/x
  3. Step 3: Cross multiply
    247,740x = 379,599 × 379,599
  4. Step 4: Simplify right side
    247,740x = 144,095,400,801
  5. Step 5: Solve for x
    x = 144,095,400,801/247,740
  6. Step 6: Final answer
    x = 581,639.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.