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Finding the Third Proportional to 82,352,112.75 and 109,789,921.13

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Solution

The third proportional to 82,352,112.75 and 109,789,921.13 is: 146,369,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352,112.75 : 109,789,921.13 = 109,789,921.13 : x
  2. Step 2: Convert to fraction form
    82,352,112.75/109,789,921.13 = 109,789,921.13/x
  3. Step 3: Cross multiply
    82,352,112.75x = 109,789,921.13 × 109,789,921.13
  4. Step 4: Simplify right side
    82,352,112.75x = 12,053,826,780,633,722
  5. Step 5: Solve for x
    x = 12,053,826,780,633,722/82,352,112.75
  6. Step 6: Final answer
    x = 146,369,369.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.