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Finding the Third Proportional to 38,257,134 and 81,972,147

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Solution

The third proportional to 38,257,134 and 81,972,147 is: 175,638,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257,134 : 81,972,147 = 81,972,147 : x
  2. Step 2: Convert to fraction form
    38,257,134/81,972,147 = 81,972,147/x
  3. Step 3: Cross multiply
    38,257,134x = 81,972,147 × 81,972,147
  4. Step 4: Simplify right side
    38,257,134x = 6,719,432,883,789,609
  5. Step 5: Solve for x
    x = 6,719,432,883,789,609/38,257,134
  6. Step 6: Final answer
    x = 175,638,689.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.