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Finding the Third Proportional to 189,432 and 282,852

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Solution

The third proportional to 189,432 and 282,852 is: 422,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432 : 282,852 = 282,852 : x
  2. Step 2: Convert to fraction form
    189,432/282,852 = 282,852/x
  3. Step 3: Cross multiply
    189,432x = 282,852 × 282,852
  4. Step 4: Simplify right side
    189,432x = 80,005,253,904
  5. Step 5: Solve for x
    x = 80,005,253,904/189,432
  6. Step 6: Final answer
    x = 422,342.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.