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Finding the Third Proportional to 50,209,240,056 and 109,244,019,716

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Solution

The third proportional to 50,209,240,056 and 109,244,019,716 is: 237,690,429,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209,240,056 : 109,244,019,716 = 109,244,019,716 : x
  2. Step 2: Convert to fraction form
    50,209,240,056/109,244,019,716 = 109,244,019,716/x
  3. Step 3: Cross multiply
    50,209,240,056x = 109,244,019,716 × 109,244,019,716
  4. Step 4: Simplify right side
    50,209,240,056x = 11,934,255,843,709,795,958,784
  5. Step 5: Solve for x
    x = 11,934,255,843,709,795,958,784/50,209,240,056
  6. Step 6: Final answer
    x = 237,690,429,697.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.