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Finding the Third Proportional to 138,224 and 291,205

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Solution

The third proportional to 138,224 and 291,205 is: 613,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224 : 291,205 = 291,205 : x
  2. Step 2: Convert to fraction form
    138,224/291,205 = 291,205/x
  3. Step 3: Cross multiply
    138,224x = 291,205 × 291,205
  4. Step 4: Simplify right side
    138,224x = 84,800,352,025
  5. Step 5: Solve for x
    x = 84,800,352,025/138,224
  6. Step 6: Final answer
    x = 613,499.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.