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Finding the Third Proportional to 138,471,687 and 219,266,372.25

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Solution

The third proportional to 138,471,687 and 219,266,372.25 is: 347,202,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471,687 : 219,266,372.25 = 219,266,372.25 : x
  2. Step 2: Convert to fraction form
    138,471,687/219,266,372.25 = 219,266,372.25/x
  3. Step 3: Cross multiply
    138,471,687x = 219,266,372.25 × 219,266,372.25
  4. Step 4: Simplify right side
    138,471,687x = 48,077,741,999,675,568
  5. Step 5: Solve for x
    x = 48,077,741,999,675,568/138,471,687
  6. Step 6: Final answer
    x = 347,202,688.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.