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Finding the Third Proportional to 378,876 and 631,370

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Solution

The third proportional to 378,876 and 631,370 is: 1,052,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,876 : 631,370 = 631,370 : x
  2. Step 2: Convert to fraction form
    378,876/631,370 = 631,370/x
  3. Step 3: Cross multiply
    378,876x = 631,370 × 631,370
  4. Step 4: Simplify right side
    378,876x = 398,628,076,900
  5. Step 5: Solve for x
    x = 398,628,076,900/378,876
  6. Step 6: Final answer
    x = 1,052,133.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.