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Finding the Third Proportional to 72,073.69 and 109,887.19

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Solution

The third proportional to 72,073.69 and 109,887.19 is: 167,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,073.69 : 109,887.19 = 109,887.19 : x
  2. Step 2: Convert to fraction form
    72,073.69/109,887.19 = 109,887.19/x
  3. Step 3: Cross multiply
    72,073.69x = 109,887.19 × 109,887.19
  4. Step 4: Simplify right side
    72,073.69x = 12,075,193,976.66
  5. Step 5: Solve for x
    x = 12,075,193,976.66/72,073.69
  6. Step 6: Final answer
    x = 167,539.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.