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Finding the Third Proportional to 140,100 and 209,655

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Solution

The third proportional to 140,100 and 209,655 is: 313,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,100 : 209,655 = 209,655 : x
  2. Step 2: Convert to fraction form
    140,100/209,655 = 209,655/x
  3. Step 3: Cross multiply
    140,100x = 209,655 × 209,655
  4. Step 4: Simplify right side
    140,100x = 43,955,219,025
  5. Step 5: Solve for x
    x = 43,955,219,025/140,100
  6. Step 6: Final answer
    x = 313,741.75

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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.