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Finding the Third Proportional to 137,956 and 210,946

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Solution

The third proportional to 137,956 and 210,946 is: 322,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956 : 210,946 = 210,946 : x
  2. Step 2: Convert to fraction form
    137,956/210,946 = 210,946/x
  3. Step 3: Cross multiply
    137,956x = 210,946 × 210,946
  4. Step 4: Simplify right side
    137,956x = 44,498,214,916
  5. Step 5: Solve for x
    x = 44,498,214,916/137,956
  6. Step 6: Final answer
    x = 322,553.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.