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Finding the Third Proportional to 98,111 and 211,901

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Solution

The third proportional to 98,111 and 211,901 is: 457,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,111 : 211,901 = 211,901 : x
  2. Step 2: Convert to fraction form
    98,111/211,901 = 211,901/x
  3. Step 3: Cross multiply
    98,111x = 211,901 × 211,901
  4. Step 4: Simplify right side
    98,111x = 44,902,033,801
  5. Step 5: Solve for x
    x = 44,902,033,801/98,111
  6. Step 6: Final answer
    x = 457,665.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.