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Finding the Third Proportional to 127,983 and 274,920

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Solution

The third proportional to 127,983 and 274,920 is: 590,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,983 : 274,920 = 274,920 : x
  2. Step 2: Convert to fraction form
    127,983/274,920 = 274,920/x
  3. Step 3: Cross multiply
    127,983x = 274,920 × 274,920
  4. Step 4: Simplify right side
    127,983x = 75,581,006,400
  5. Step 5: Solve for x
    x = 75,581,006,400/127,983
  6. Step 6: Final answer
    x = 590,555.05

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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.