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Finding the Third Proportional to 140,220 and 203,929

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Solution

The third proportional to 140,220 and 203,929 is: 296,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,220 : 203,929 = 203,929 : x
  2. Step 2: Convert to fraction form
    140,220/203,929 = 203,929/x
  3. Step 3: Cross multiply
    140,220x = 203,929 × 203,929
  4. Step 4: Simplify right side
    140,220x = 41,587,037,041
  5. Step 5: Solve for x
    x = 41,587,037,041/140,220
  6. Step 6: Final answer
    x = 296,584.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.