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Finding the Third Proportional to 72,105 and 107,559

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Solution

The third proportional to 72,105 and 107,559 is: 160,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,105 : 107,559 = 107,559 : x
  2. Step 2: Convert to fraction form
    72,105/107,559 = 107,559/x
  3. Step 3: Cross multiply
    72,105x = 107,559 × 107,559
  4. Step 4: Simplify right side
    72,105x = 11,568,938,481
  5. Step 5: Solve for x
    x = 11,568,938,481/72,105
  6. Step 6: Final answer
    x = 160,445.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.