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Finding the Third Proportional to 139,890 and 209,781

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Solution

The third proportional to 139,890 and 209,781 is: 314,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,890 : 209,781 = 209,781 : x
  2. Step 2: Convert to fraction form
    139,890/209,781 = 209,781/x
  3. Step 3: Cross multiply
    139,890x = 209,781 × 209,781
  4. Step 4: Simplify right side
    139,890x = 44,008,067,961
  5. Step 5: Solve for x
    x = 44,008,067,961/139,890
  6. Step 6: Final answer
    x = 314,590.52

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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.