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Finding the Third Proportional to 189,960 and 282,012

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Solution

The third proportional to 189,960 and 282,012 is: 418,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,960 : 282,012 = 282,012 : x
  2. Step 2: Convert to fraction form
    189,960/282,012 = 282,012/x
  3. Step 3: Cross multiply
    189,960x = 282,012 × 282,012
  4. Step 4: Simplify right side
    189,960x = 79,530,768,144
  5. Step 5: Solve for x
    x = 79,530,768,144/189,960
  6. Step 6: Final answer
    x = 418,671.13

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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.