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Finding the Third Proportional to 116,302,092,938 and 252,981,523,384

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Solution

The third proportional to 116,302,092,938 and 252,981,523,384 is: 550,288,043,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,302,092,938 : 252,981,523,384 = 252,981,523,384 : x
  2. Step 2: Convert to fraction form
    116,302,092,938/252,981,523,384 = 252,981,523,384/x
  3. Step 3: Cross multiply
    116,302,092,938x = 252,981,523,384 × 252,981,523,384
  4. Step 4: Simplify right side
    116,302,092,938x = 63,999,651,173,689,334,956,032
  5. Step 5: Solve for x
    x = 63,999,651,173,689,334,956,032/116,302,092,938
  6. Step 6: Final answer
    x = 550,288,043,464.59

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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.