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Finding the Third Proportional to 252,780 and 379,819

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Solution

The third proportional to 252,780 and 379,819 is: 570,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,780 : 379,819 = 379,819 : x
  2. Step 2: Convert to fraction form
    252,780/379,819 = 379,819/x
  3. Step 3: Cross multiply
    252,780x = 379,819 × 379,819
  4. Step 4: Simplify right side
    252,780x = 144,262,472,761
  5. Step 5: Solve for x
    x = 144,262,472,761/252,780
  6. Step 6: Final answer
    x = 570,703.67

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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.