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Finding the Third Proportional to 109,896 and 211,038

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Solution

The third proportional to 109,896 and 211,038 is: 405,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896 : 211,038 = 211,038 : x
  2. Step 2: Convert to fraction form
    109,896/211,038 = 211,038/x
  3. Step 3: Cross multiply
    109,896x = 211,038 × 211,038
  4. Step 4: Simplify right side
    109,896x = 44,537,037,444
  5. Step 5: Solve for x
    x = 44,537,037,444/109,896
  6. Step 6: Final answer
    x = 405,265.32

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.