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Finding the Third Proportional to 78,332,887,512 and 117,582,240,984.75

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Solution

The third proportional to 78,332,887,512 and 117,582,240,984.75 is: 176,497,813,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332,887,512 : 117,582,240,984.75 = 117,582,240,984.75 : x
  2. Step 2: Convert to fraction form
    78,332,887,512/117,582,240,984.75 = 117,582,240,984.75/x
  3. Step 3: Cross multiply
    78,332,887,512x = 117,582,240,984.75 × 117,582,240,984.75
  4. Step 4: Simplify right side
    78,332,887,512x = 13,825,583,394,995,822,395,392
  5. Step 5: Solve for x
    x = 13,825,583,394,995,822,395,392/78,332,887,512
  6. Step 6: Final answer
    x = 176,497,813,806.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.