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Finding the Third Proportional to 106,989 and 165,579

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Solution

The third proportional to 106,989 and 165,579 is: 256,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989 : 165,579 = 165,579 : x
  2. Step 2: Convert to fraction form
    106,989/165,579 = 165,579/x
  3. Step 3: Cross multiply
    106,989x = 165,579 × 165,579
  4. Step 4: Simplify right side
    106,989x = 27,416,405,241
  5. Step 5: Solve for x
    x = 27,416,405,241/106,989
  6. Step 6: Final answer
    x = 256,254.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.