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Finding the Third Proportional to 207,830 and 449,817

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Solution

The third proportional to 207,830 and 449,817 is: 973,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,830 : 449,817 = 449,817 : x
  2. Step 2: Convert to fraction form
    207,830/449,817 = 449,817/x
  3. Step 3: Cross multiply
    207,830x = 449,817 × 449,817
  4. Step 4: Simplify right side
    207,830x = 202,335,333,489
  5. Step 5: Solve for x
    x = 202,335,333,489/207,830
  6. Step 6: Final answer
    x = 973,561.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.