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Finding the Third Proportional to 72,749 and 159,025

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Solution

The third proportional to 72,749 and 159,025 is: 347,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749 : 159,025 = 159,025 : x
  2. Step 2: Convert to fraction form
    72,749/159,025 = 159,025/x
  3. Step 3: Cross multiply
    72,749x = 159,025 × 159,025
  4. Step 4: Simplify right side
    72,749x = 25,288,950,625
  5. Step 5: Solve for x
    x = 25,288,950,625/72,749
  6. Step 6: Final answer
    x = 347,619.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.