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Finding the Third Proportional to 121,348 and 189,945

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Solution

The third proportional to 121,348 and 189,945 is: 297,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,348 : 189,945 = 189,945 : x
  2. Step 2: Convert to fraction form
    121,348/189,945 = 189,945/x
  3. Step 3: Cross multiply
    121,348x = 189,945 × 189,945
  4. Step 4: Simplify right side
    121,348x = 36,079,103,025
  5. Step 5: Solve for x
    x = 36,079,103,025/121,348
  6. Step 6: Final answer
    x = 297,319.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.