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Finding the Third Proportional to 403,926 and 849,636

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Solution

The third proportional to 403,926 and 849,636 is: 1,787,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,926 : 849,636 = 849,636 : x
  2. Step 2: Convert to fraction form
    403,926/849,636 = 849,636/x
  3. Step 3: Cross multiply
    403,926x = 849,636 × 849,636
  4. Step 4: Simplify right side
    403,926x = 721,881,332,496
  5. Step 5: Solve for x
    x = 721,881,332,496/403,926
  6. Step 6: Final answer
    x = 1,787,162.33

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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.