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Finding the Third Proportional to 172,983 and 371,838

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Solution

The third proportional to 172,983 and 371,838 is: 799,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,983 : 371,838 = 371,838 : x
  2. Step 2: Convert to fraction form
    172,983/371,838 = 371,838/x
  3. Step 3: Cross multiply
    172,983x = 371,838 × 371,838
  4. Step 4: Simplify right side
    172,983x = 138,263,498,244
  5. Step 5: Solve for x
    x = 138,263,498,244/172,983
  6. Step 6: Final answer
    x = 799,289.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.