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Finding the Third Proportional to 121,111 and 189,023

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Solution

The third proportional to 121,111 and 189,023 is: 295,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,111 : 189,023 = 189,023 : x
  2. Step 2: Convert to fraction form
    121,111/189,023 = 189,023/x
  3. Step 3: Cross multiply
    121,111x = 189,023 × 189,023
  4. Step 4: Simplify right side
    121,111x = 35,729,694,529
  5. Step 5: Solve for x
    x = 35,729,694,529/121,111
  6. Step 6: Final answer
    x = 295,016.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.