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Finding the Third Proportional to 189,102 and 279,919

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Solution

The third proportional to 189,102 and 279,919 is: 414,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102 : 279,919 = 279,919 : x
  2. Step 2: Convert to fraction form
    189,102/279,919 = 279,919/x
  3. Step 3: Cross multiply
    189,102x = 279,919 × 279,919
  4. Step 4: Simplify right side
    189,102x = 78,354,646,561
  5. Step 5: Solve for x
    x = 78,354,646,561/189,102
  6. Step 6: Final answer
    x = 414,351.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.