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Finding the Third Proportional to 122,765.63 and 189,216

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Solution

The third proportional to 122,765.63 and 189,216 is: 291,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,765.63 : 189,216 = 189,216 : x
  2. Step 2: Convert to fraction form
    122,765.63/189,216 = 189,216/x
  3. Step 3: Cross multiply
    122,765.63x = 189,216 × 189,216
  4. Step 4: Simplify right side
    122,765.63x = 35,802,694,656
  5. Step 5: Solve for x
    x = 35,802,694,656/122,765.63
  6. Step 6: Final answer
    x = 291,634.52

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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.