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Finding the Third Proportional to 137,917 and 210,886

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Solution

The third proportional to 137,917 and 210,886 is: 322,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917 : 210,886 = 210,886 : x
  2. Step 2: Convert to fraction form
    137,917/210,886 = 210,886/x
  3. Step 3: Cross multiply
    137,917x = 210,886 × 210,886
  4. Step 4: Simplify right side
    137,917x = 44,472,904,996
  5. Step 5: Solve for x
    x = 44,472,904,996/137,917
  6. Step 6: Final answer
    x = 322,461.37

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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.