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Finding the Third Proportional to 71,658,347 and 146,324,419

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Solution

The third proportional to 71,658,347 and 146,324,419 is: 298,790,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658,347 : 146,324,419 = 146,324,419 : x
  2. Step 2: Convert to fraction form
    71,658,347/146,324,419 = 146,324,419/x
  3. Step 3: Cross multiply
    71,658,347x = 146,324,419 × 146,324,419
  4. Step 4: Simplify right side
    71,658,347x = 21,410,835,595,687,560
  5. Step 5: Solve for x
    x = 21,410,835,595,687,560/71,658,347
  6. Step 6: Final answer
    x = 298,790,531.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.