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Finding the Third Proportional to 189,429.75 and 408,905.06

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Solution

The third proportional to 189,429.75 and 408,905.06 is: 882,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,429.75 : 408,905.06 = 408,905.06 : x
  2. Step 2: Convert to fraction form
    189,429.75/408,905.06 = 408,905.06/x
  3. Step 3: Cross multiply
    189,429.75x = 408,905.06 × 408,905.06
  4. Step 4: Simplify right side
    189,429.75x = 167,203,350,138.13
  5. Step 5: Solve for x
    x = 167,203,350,138.13/189,429.75
  6. Step 6: Final answer
    x = 882,666.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.