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Finding the Third Proportional to 101,979 and 220,904

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Solution

The third proportional to 101,979 and 220,904 is: 478,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,979 : 220,904 = 220,904 : x
  2. Step 2: Convert to fraction form
    101,979/220,904 = 220,904/x
  3. Step 3: Cross multiply
    101,979x = 220,904 × 220,904
  4. Step 4: Simplify right side
    101,979x = 48,798,577,216
  5. Step 5: Solve for x
    x = 48,798,577,216/101,979
  6. Step 6: Final answer
    x = 478,515.94

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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.