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Finding the Third Proportional to 331,266 and 509,790

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Solution

The third proportional to 331,266 and 509,790 is: 784,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,266 : 509,790 = 509,790 : x
  2. Step 2: Convert to fraction form
    331,266/509,790 = 509,790/x
  3. Step 3: Cross multiply
    331,266x = 509,790 × 509,790
  4. Step 4: Simplify right side
    331,266x = 259,885,844,100
  5. Step 5: Solve for x
    x = 259,885,844,100/331,266
  6. Step 6: Final answer
    x = 784,523.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.