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Finding the Third Proportional to 199,549 and 309,817

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Solution

The third proportional to 199,549 and 309,817 is: 481,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,549 : 309,817 = 309,817 : x
  2. Step 2: Convert to fraction form
    199,549/309,817 = 309,817/x
  3. Step 3: Cross multiply
    199,549x = 309,817 × 309,817
  4. Step 4: Simplify right side
    199,549x = 95,986,573,489
  5. Step 5: Solve for x
    x = 95,986,573,489/199,549
  6. Step 6: Final answer
    x = 481,017.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.