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Finding the Third Proportional to 106,036 and 162,450

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Solution

The third proportional to 106,036 and 162,450 is: 248,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,036 : 162,450 = 162,450 : x
  2. Step 2: Convert to fraction form
    106,036/162,450 = 162,450/x
  3. Step 3: Cross multiply
    106,036x = 162,450 × 162,450
  4. Step 4: Simplify right side
    106,036x = 26,390,002,500
  5. Step 5: Solve for x
    x = 26,390,002,500/106,036
  6. Step 6: Final answer
    x = 248,877.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.