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Finding the Third Proportional to 123,060.75 and 189,840.75

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Solution

The third proportional to 123,060.75 and 189,840.75 is: 292,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,060.75 : 189,840.75 = 189,840.75 : x
  2. Step 2: Convert to fraction form
    123,060.75/189,840.75 = 189,840.75/x
  3. Step 3: Cross multiply
    123,060.75x = 189,840.75 × 189,840.75
  4. Step 4: Simplify right side
    123,060.75x = 36,039,510,360.56
  5. Step 5: Solve for x
    x = 36,039,510,360.56/123,060.75
  6. Step 6: Final answer
    x = 292,859.51

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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.