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Finding the Third Proportional to 140,137 and 211,664

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Solution

The third proportional to 140,137 and 211,664 is: 319,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,137 : 211,664 = 211,664 : x
  2. Step 2: Convert to fraction form
    140,137/211,664 = 211,664/x
  3. Step 3: Cross multiply
    140,137x = 211,664 × 211,664
  4. Step 4: Simplify right side
    140,137x = 44,801,648,896
  5. Step 5: Solve for x
    x = 44,801,648,896/140,137
  6. Step 6: Final answer
    x = 319,698.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.