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Finding the Third Proportional to 197,427 and 281,374.50

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Solution

The third proportional to 197,427 and 281,374.50 is: 401,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,427 : 281,374.50 = 281,374.50 : x
  2. Step 2: Convert to fraction form
    197,427/281,374.50 = 281,374.50/x
  3. Step 3: Cross multiply
    197,427x = 281,374.50 × 281,374.50
  4. Step 4: Simplify right side
    197,427x = 79,171,609,250.25
  5. Step 5: Solve for x
    x = 79,171,609,250.25/197,427
  6. Step 6: Final answer
    x = 401,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.