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Finding the Third Proportional to 101,985 and 220,916

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Solution

The third proportional to 101,985 and 220,916 is: 478,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,985 : 220,916 = 220,916 : x
  2. Step 2: Convert to fraction form
    101,985/220,916 = 220,916/x
  3. Step 3: Cross multiply
    101,985x = 220,916 × 220,916
  4. Step 4: Simplify right side
    101,985x = 48,803,879,056
  5. Step 5: Solve for x
    x = 48,803,879,056/101,985
  6. Step 6: Final answer
    x = 478,539.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.