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Finding the Third Proportional to 149,289 and 223,840

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Solution

The third proportional to 149,289 and 223,840 is: 335,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,289 : 223,840 = 223,840 : x
  2. Step 2: Convert to fraction form
    149,289/223,840 = 223,840/x
  3. Step 3: Cross multiply
    149,289x = 223,840 × 223,840
  4. Step 4: Simplify right side
    149,289x = 50,104,345,600
  5. Step 5: Solve for x
    x = 50,104,345,600/149,289
  6. Step 6: Final answer
    x = 335,619.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.