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Finding the Third Proportional to 403,945 and 849,674

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Solution

The third proportional to 403,945 and 849,674 is: 1,787,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,945 : 849,674 = 849,674 : x
  2. Step 2: Convert to fraction form
    403,945/849,674 = 849,674/x
  3. Step 3: Cross multiply
    403,945x = 849,674 × 849,674
  4. Step 4: Simplify right side
    403,945x = 721,945,906,276
  5. Step 5: Solve for x
    x = 721,945,906,276/403,945
  6. Step 6: Final answer
    x = 1,787,238.13

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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.