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Finding the Third Proportional to 236,883 and 490,470

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Solution

The third proportional to 236,883 and 490,470 is: 1,015,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,883 : 490,470 = 490,470 : x
  2. Step 2: Convert to fraction form
    236,883/490,470 = 490,470/x
  3. Step 3: Cross multiply
    236,883x = 490,470 × 490,470
  4. Step 4: Simplify right side
    236,883x = 240,560,820,900
  5. Step 5: Solve for x
    x = 240,560,820,900/236,883
  6. Step 6: Final answer
    x = 1,015,525.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.