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Finding the Third Proportional to 403,769 and 849,364

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Solution

The third proportional to 403,769 and 849,364 is: 1,786,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,769 : 849,364 = 849,364 : x
  2. Step 2: Convert to fraction form
    403,769/849,364 = 849,364/x
  3. Step 3: Cross multiply
    403,769x = 849,364 × 849,364
  4. Step 4: Simplify right side
    403,769x = 721,419,204,496
  5. Step 5: Solve for x
    x = 721,419,204,496/403,769
  6. Step 6: Final answer
    x = 1,786,712.71

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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.