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Finding the Third Proportional to 215,481,994.32 and 308,139,618.84

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Solution

The third proportional to 215,481,994.32 and 308,139,618.84 is: 440,640,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,481,994.32 : 308,139,618.84 = 308,139,618.84 : x
  2. Step 2: Convert to fraction form
    215,481,994.32/308,139,618.84 = 308,139,618.84/x
  3. Step 3: Cross multiply
    215,481,994.32x = 308,139,618.84 × 308,139,618.84
  4. Step 4: Simplify right side
    215,481,994.32x = 94,950,024,701,171,536
  5. Step 5: Solve for x
    x = 94,950,024,701,171,536/215,481,994.32
  6. Step 6: Final answer
    x = 440,640,179.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.