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Finding the Third Proportional to 189,098 and 279,909

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Solution

The third proportional to 189,098 and 279,909 is: 414,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098 : 279,909 = 279,909 : x
  2. Step 2: Convert to fraction form
    189,098/279,909 = 279,909/x
  3. Step 3: Cross multiply
    189,098x = 279,909 × 279,909
  4. Step 4: Simplify right side
    189,098x = 78,349,048,281
  5. Step 5: Solve for x
    x = 78,349,048,281/189,098
  6. Step 6: Final answer
    x = 414,330.39

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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.