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Finding the Third Proportional to 189,179 and 282,127

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Solution

The third proportional to 189,179 and 282,127 is: 420,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,179 : 282,127 = 282,127 : x
  2. Step 2: Convert to fraction form
    189,179/282,127 = 282,127/x
  3. Step 3: Cross multiply
    189,179x = 282,127 × 282,127
  4. Step 4: Simplify right side
    189,179x = 79,595,644,129
  5. Step 5: Solve for x
    x = 79,595,644,129/189,179
  6. Step 6: Final answer
    x = 420,742.49

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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.