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Finding the Third Proportional to 252,236 and 376,167

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Solution

The third proportional to 252,236 and 376,167 is: 560,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,236 : 376,167 = 376,167 : x
  2. Step 2: Convert to fraction form
    252,236/376,167 = 376,167/x
  3. Step 3: Cross multiply
    252,236x = 376,167 × 376,167
  4. Step 4: Simplify right side
    252,236x = 141,501,611,889
  5. Step 5: Solve for x
    x = 141,501,611,889/252,236
  6. Step 6: Final answer
    x = 560,988.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.