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Finding the Third Proportional to 121,772.25 and 189,018

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Solution

The third proportional to 121,772.25 and 189,018 is: 293,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,772.25 : 189,018 = 189,018 : x
  2. Step 2: Convert to fraction form
    121,772.25/189,018 = 189,018/x
  3. Step 3: Cross multiply
    121,772.25x = 189,018 × 189,018
  4. Step 4: Simplify right side
    121,772.25x = 35,727,804,324
  5. Step 5: Solve for x
    x = 35,727,804,324/121,772.25
  6. Step 6: Final answer
    x = 293,398.57

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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.