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Finding the Third Proportional to 122,542.88 and 189,247.50

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Solution

The third proportional to 122,542.88 and 189,247.50 is: 292,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,542.88 : 189,247.50 = 189,247.50 : x
  2. Step 2: Convert to fraction form
    122,542.88/189,247.50 = 189,247.50/x
  3. Step 3: Cross multiply
    122,542.88x = 189,247.50 × 189,247.50
  4. Step 4: Simplify right side
    122,542.88x = 35,814,616,256.25
  5. Step 5: Solve for x
    x = 35,814,616,256.25/122,542.88
  6. Step 6: Final answer
    x = 292,261.92

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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.