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Finding the Third Proportional to 154,394,551,306 and 336,128,520,980

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Solution

The third proportional to 154,394,551,306 and 336,128,520,980 is: 731,777,006,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,394,551,306 : 336,128,520,980 = 336,128,520,980 : x
  2. Step 2: Convert to fraction form
    154,394,551,306/336,128,520,980 = 336,128,520,980/x
  3. Step 3: Cross multiply
    154,394,551,306x = 336,128,520,980 × 336,128,520,980
  4. Step 4: Simplify right side
    154,394,551,306x = 112,982,382,616,202,300,096,512
  5. Step 5: Solve for x
    x = 112,982,382,616,202,300,096,512/154,394,551,306
  6. Step 6: Final answer
    x = 731,777,006,769.36

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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.