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Finding the Third Proportional to 32,732,223 and 49,098,334.50

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Solution

The third proportional to 32,732,223 and 49,098,334.50 is: 73,647,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732,223 : 49,098,334.50 = 49,098,334.50 : x
  2. Step 2: Convert to fraction form
    32,732,223/49,098,334.50 = 49,098,334.50/x
  3. Step 3: Cross multiply
    32,732,223x = 49,098,334.50 × 49,098,334.50
  4. Step 4: Simplify right side
    32,732,223x = 2,410,646,450,673,890
  5. Step 5: Solve for x
    x = 2,410,646,450,673,890/32,732,223
  6. Step 6: Final answer
    x = 73,647,501.75

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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.