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Finding the Third Proportional to 112,664 and 211,138

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Solution

The third proportional to 112,664 and 211,138 is: 395,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,664 : 211,138 = 211,138 : x
  2. Step 2: Convert to fraction form
    112,664/211,138 = 211,138/x
  3. Step 3: Cross multiply
    112,664x = 211,138 × 211,138
  4. Step 4: Simplify right side
    112,664x = 44,579,255,044
  5. Step 5: Solve for x
    x = 44,579,255,044/112,664
  6. Step 6: Final answer
    x = 395,683.23

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.