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Finding the Third Proportional to 32,732,227 and 49,098,341

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Solution

The third proportional to 32,732,227 and 49,098,341 is: 73,647,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732,227 : 49,098,341 = 49,098,341 : x
  2. Step 2: Convert to fraction form
    32,732,227/49,098,341 = 49,098,341/x
  3. Step 3: Cross multiply
    32,732,227x = 49,098,341 × 49,098,341
  4. Step 4: Simplify right side
    32,732,227x = 2,410,647,088,952,281
  5. Step 5: Solve for x
    x = 2,410,647,088,952,281/32,732,227
  6. Step 6: Final answer
    x = 73,647,512.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.