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Finding the Third Proportional to 153,763.50 and 332,799

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Solution

The third proportional to 153,763.50 and 332,799 is: 720,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,763.50 : 332,799 = 332,799 : x
  2. Step 2: Convert to fraction form
    153,763.50/332,799 = 332,799/x
  3. Step 3: Cross multiply
    153,763.50x = 332,799 × 332,799
  4. Step 4: Simplify right side
    153,763.50x = 110,755,174,401
  5. Step 5: Solve for x
    x = 110,755,174,401/153,763.50
  6. Step 6: Final answer
    x = 720,295.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.