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Finding the Third Proportional to 403,809 and 849,474

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Solution

The third proportional to 403,809 and 849,474 is: 1,786,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,809 : 849,474 = 849,474 : x
  2. Step 2: Convert to fraction form
    403,809/849,474 = 849,474/x
  3. Step 3: Cross multiply
    403,809x = 849,474 × 849,474
  4. Step 4: Simplify right side
    403,809x = 721,606,076,676
  5. Step 5: Solve for x
    x = 721,606,076,676/403,809
  6. Step 6: Final answer
    x = 1,786,998.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.