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Finding the Third Proportional to 32,753 and 49,401.50

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Solution

The third proportional to 32,753 and 49,401.50 is: 74,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753 : 49,401.50 = 49,401.50 : x
  2. Step 2: Convert to fraction form
    32,753/49,401.50 = 49,401.50/x
  3. Step 3: Cross multiply
    32,753x = 49,401.50 × 49,401.50
  4. Step 4: Simplify right side
    32,753x = 2,440,508,202.25
  5. Step 5: Solve for x
    x = 2,440,508,202.25/32,753
  6. Step 6: Final answer
    x = 74,512.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.