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Finding the Third Proportional to 122,439.66 and 189,200.53

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Solution

The third proportional to 122,439.66 and 189,200.53 is: 292,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,439.66 : 189,200.53 = 189,200.53 : x
  2. Step 2: Convert to fraction form
    122,439.66/189,200.53 = 189,200.53/x
  3. Step 3: Cross multiply
    122,439.66x = 189,200.53 × 189,200.53
  4. Step 4: Simplify right side
    122,439.66x = 35,796,841,025.28
  5. Step 5: Solve for x
    x = 35,796,841,025.28/122,439.66
  6. Step 6: Final answer
    x = 292,363.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.