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Finding the Third Proportional to 140,178 and 209,686

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Solution

The third proportional to 140,178 and 209,686 is: 313,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,178 : 209,686 = 209,686 : x
  2. Step 2: Convert to fraction form
    140,178/209,686 = 209,686/x
  3. Step 3: Cross multiply
    140,178x = 209,686 × 209,686
  4. Step 4: Simplify right side
    140,178x = 43,968,218,596
  5. Step 5: Solve for x
    x = 43,968,218,596/140,178
  6. Step 6: Final answer
    x = 313,659.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.