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Finding the Third Proportional to 74,901 and 162,921

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Solution

The third proportional to 74,901 and 162,921 is: 354,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,901 : 162,921 = 162,921 : x
  2. Step 2: Convert to fraction form
    74,901/162,921 = 162,921/x
  3. Step 3: Cross multiply
    74,901x = 162,921 × 162,921
  4. Step 4: Simplify right side
    74,901x = 26,543,252,241
  5. Step 5: Solve for x
    x = 26,543,252,241/74,901
  6. Step 6: Final answer
    x = 354,377.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.