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Finding the Third Proportional to 137,115 and 211,887

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Solution

The third proportional to 137,115 and 211,887 is: 327,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,115 : 211,887 = 211,887 : x
  2. Step 2: Convert to fraction form
    137,115/211,887 = 211,887/x
  3. Step 3: Cross multiply
    137,115x = 211,887 × 211,887
  4. Step 4: Simplify right side
    137,115x = 44,896,100,769
  5. Step 5: Solve for x
    x = 44,896,100,769/137,115
  6. Step 6: Final answer
    x = 327,433.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.