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Finding the Third Proportional to 99,949 and 214,719

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Solution

The third proportional to 99,949 and 214,719 is: 461,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,949 : 214,719 = 214,719 : x
  2. Step 2: Convert to fraction form
    99,949/214,719 = 214,719/x
  3. Step 3: Cross multiply
    99,949x = 214,719 × 214,719
  4. Step 4: Simplify right side
    99,949x = 46,104,248,961
  5. Step 5: Solve for x
    x = 46,104,248,961/99,949
  6. Step 6: Final answer
    x = 461,277.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.