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Finding the Third Proportional to 189,181 and 282,130

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Solution

The third proportional to 189,181 and 282,130 is: 420,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,181 : 282,130 = 282,130 : x
  2. Step 2: Convert to fraction form
    189,181/282,130 = 282,130/x
  3. Step 3: Cross multiply
    189,181x = 282,130 × 282,130
  4. Step 4: Simplify right side
    189,181x = 79,597,336,900
  5. Step 5: Solve for x
    x = 79,597,336,900/189,181
  6. Step 6: Final answer
    x = 420,746.99

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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.