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Finding the Third Proportional to 106,986 and 169,557

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Solution

The third proportional to 106,986 and 169,557 is: 268,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986 : 169,557 = 169,557 : x
  2. Step 2: Convert to fraction form
    106,986/169,557 = 169,557/x
  3. Step 3: Cross multiply
    106,986x = 169,557 × 169,557
  4. Step 4: Simplify right side
    106,986x = 28,749,576,249
  5. Step 5: Solve for x
    x = 28,749,576,249/106,986
  6. Step 6: Final answer
    x = 268,722.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.