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Finding the Third Proportional to 123,078 and 189,867

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Solution

The third proportional to 123,078 and 189,867 is: 292,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078 : 189,867 = 189,867 : x
  2. Step 2: Convert to fraction form
    123,078/189,867 = 189,867/x
  3. Step 3: Cross multiply
    123,078x = 189,867 × 189,867
  4. Step 4: Simplify right side
    123,078x = 36,049,477,689
  5. Step 5: Solve for x
    x = 36,049,477,689/123,078
  6. Step 6: Final answer
    x = 292,899.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.