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Finding the Third Proportional to 116,302,092,936 and 252,981,523,380

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Solution

The third proportional to 116,302,092,936 and 252,981,523,380 is: 550,288,043,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,302,092,936 : 252,981,523,380 = 252,981,523,380 : x
  2. Step 2: Convert to fraction form
    116,302,092,936/252,981,523,380 = 252,981,523,380/x
  3. Step 3: Cross multiply
    116,302,092,936x = 252,981,523,380 × 252,981,523,380
  4. Step 4: Simplify right side
    116,302,092,936x = 63,999,651,171,665,482,612,736
  5. Step 5: Solve for x
    x = 63,999,651,171,665,482,612,736/116,302,092,936
  6. Step 6: Final answer
    x = 550,288,043,456.66

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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.