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Finding the Third Proportional to 252,678 and 378,628.50

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Solution

The third proportional to 252,678 and 378,628.50 is: 567,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,678 : 378,628.50 = 378,628.50 : x
  2. Step 2: Convert to fraction form
    252,678/378,628.50 = 378,628.50/x
  3. Step 3: Cross multiply
    252,678x = 378,628.50 × 378,628.50
  4. Step 4: Simplify right side
    252,678x = 143,359,541,012.25
  5. Step 5: Solve for x
    x = 143,359,541,012.25/252,678
  6. Step 6: Final answer
    x = 567,360.60

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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.