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Finding the Third Proportional to 189,889.31 and 285,449.06

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Solution

The third proportional to 189,889.31 and 285,449.06 is: 429,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,889.31 : 285,449.06 = 285,449.06 : x
  2. Step 2: Convert to fraction form
    189,889.31/285,449.06 = 285,449.06/x
  3. Step 3: Cross multiply
    189,889.31x = 285,449.06 × 285,449.06
  4. Step 4: Simplify right side
    189,889.31x = 81,481,167,282.13
  5. Step 5: Solve for x
    x = 81,481,167,282.13/189,889.31
  6. Step 6: Final answer
    x = 429,098.23

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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.