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Finding the Third Proportional to 173,871 and 211,187

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Solution

The third proportional to 173,871 and 211,187 is: 256,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871 : 211,187 = 211,187 : x
  2. Step 2: Convert to fraction form
    173,871/211,187 = 211,187/x
  3. Step 3: Cross multiply
    173,871x = 211,187 × 211,187
  4. Step 4: Simplify right side
    173,871x = 44,599,948,969
  5. Step 5: Solve for x
    x = 44,599,948,969/173,871
  6. Step 6: Final answer
    x = 256,511.72

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.