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Finding the Third Proportional to 189,945 and 281,989.50

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Solution

The third proportional to 189,945 and 281,989.50 is: 418,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,945 : 281,989.50 = 281,989.50 : x
  2. Step 2: Convert to fraction form
    189,945/281,989.50 = 281,989.50/x
  3. Step 3: Cross multiply
    189,945x = 281,989.50 × 281,989.50
  4. Step 4: Simplify right side
    189,945x = 79,518,078,110.25
  5. Step 5: Solve for x
    x = 79,518,078,110.25/189,945
  6. Step 6: Final answer
    x = 418,637.39

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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.