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Finding the Third Proportional to 189,101 and 279,913

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Solution

The third proportional to 189,101 and 279,913 is: 414,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,101 : 279,913 = 279,913 : x
  2. Step 2: Convert to fraction form
    189,101/279,913 = 279,913/x
  3. Step 3: Cross multiply
    189,101x = 279,913 × 279,913
  4. Step 4: Simplify right side
    189,101x = 78,351,287,569
  5. Step 5: Solve for x
    x = 78,351,287,569/189,101
  6. Step 6: Final answer
    x = 414,335.66

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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.