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Finding the Third Proportional to 276,814,416 and 389,320,956

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Solution

The third proportional to 276,814,416 and 389,320,956 is: 547,553,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814,416 : 389,320,956 = 389,320,956 : x
  2. Step 2: Convert to fraction form
    276,814,416/389,320,956 = 389,320,956/x
  3. Step 3: Cross multiply
    276,814,416x = 389,320,956 × 389,320,956
  4. Step 4: Simplify right side
    276,814,416x = 151,570,806,780,753,920
  5. Step 5: Solve for x
    x = 151,570,806,780,753,920/276,814,416
  6. Step 6: Final answer
    x = 547,553,877.33

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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.