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Finding the Third Proportional to 101,920 and 216,174

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Solution

The third proportional to 101,920 and 216,174 is: 458,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920 : 216,174 = 216,174 : x
  2. Step 2: Convert to fraction form
    101,920/216,174 = 216,174/x
  3. Step 3: Cross multiply
    101,920x = 216,174 × 216,174
  4. Step 4: Simplify right side
    101,920x = 46,731,198,276
  5. Step 5: Solve for x
    x = 46,731,198,276/101,920
  6. Step 6: Final answer
    x = 458,508.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.