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Finding the Third Proportional to 276,814,420 and 389,320,961

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Solution

The third proportional to 276,814,420 and 389,320,961 is: 547,553,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814,420 : 389,320,961 = 389,320,961 : x
  2. Step 2: Convert to fraction form
    276,814,420/389,320,961 = 389,320,961/x
  3. Step 3: Cross multiply
    276,814,420x = 389,320,961 × 389,320,961
  4. Step 4: Simplify right side
    276,814,420x = 151,570,810,673,963,520
  5. Step 5: Solve for x
    x = 151,570,810,673,963,520/276,814,420
  6. Step 6: Final answer
    x = 547,553,883.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.