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Finding the Third Proportional to 140,292 and 209,844

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Solution

The third proportional to 140,292 and 209,844 is: 313,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,292 : 209,844 = 209,844 : x
  2. Step 2: Convert to fraction form
    140,292/209,844 = 209,844/x
  3. Step 3: Cross multiply
    140,292x = 209,844 × 209,844
  4. Step 4: Simplify right side
    140,292x = 44,034,504,336
  5. Step 5: Solve for x
    x = 44,034,504,336/140,292
  6. Step 6: Final answer
    x = 313,877.52

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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.