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Finding the Third Proportional to 77,615 and 169,759

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Solution

The third proportional to 77,615 and 169,759 is: 371,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,615 : 169,759 = 169,759 : x
  2. Step 2: Convert to fraction form
    77,615/169,759 = 169,759/x
  3. Step 3: Cross multiply
    77,615x = 169,759 × 169,759
  4. Step 4: Simplify right side
    77,615x = 28,818,118,081
  5. Step 5: Solve for x
    x = 28,818,118,081/77,615
  6. Step 6: Final answer
    x = 371,295.73

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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.