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Finding the Third Proportional to 276,814,408 and 389,320,944

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Solution

The third proportional to 276,814,408 and 389,320,944 is: 547,553,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814,408 : 389,320,944 = 389,320,944 : x
  2. Step 2: Convert to fraction form
    276,814,408/389,320,944 = 389,320,944/x
  3. Step 3: Cross multiply
    276,814,408x = 389,320,944 × 389,320,944
  4. Step 4: Simplify right side
    276,814,408x = 151,570,797,437,051,136
  5. Step 5: Solve for x
    x = 151,570,797,437,051,136/276,814,408
  6. Step 6: Final answer
    x = 547,553,859.40

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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.