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Finding the Third Proportional to 82,003,120 and 115,347,720

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Solution

The third proportional to 82,003,120 and 115,347,720 is: 162,251,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003,120 : 115,347,720 = 115,347,720 : x
  2. Step 2: Convert to fraction form
    82,003,120/115,347,720 = 115,347,720/x
  3. Step 3: Cross multiply
    82,003,120x = 115,347,720 × 115,347,720
  4. Step 4: Simplify right side
    82,003,120x = 13,305,096,509,198,400
  5. Step 5: Solve for x
    x = 13,305,096,509,198,400/82,003,120
  6. Step 6: Final answer
    x = 162,251,101.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.