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Finding the Third Proportional to 189,944 and 281,988

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Solution

The third proportional to 189,944 and 281,988 is: 418,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,944 : 281,988 = 281,988 : x
  2. Step 2: Convert to fraction form
    189,944/281,988 = 281,988/x
  3. Step 3: Cross multiply
    189,944x = 281,988 × 281,988
  4. Step 4: Simplify right side
    189,944x = 79,517,232,144
  5. Step 5: Solve for x
    x = 79,517,232,144/189,944
  6. Step 6: Final answer
    x = 418,635.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.