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Finding the Third Proportional to 377,196 and 821,784

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Solution

The third proportional to 377,196 and 821,784 is: 1,790,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,196 : 821,784 = 821,784 : x
  2. Step 2: Convert to fraction form
    377,196/821,784 = 821,784/x
  3. Step 3: Cross multiply
    377,196x = 821,784 × 821,784
  4. Step 4: Simplify right side
    377,196x = 675,328,942,656
  5. Step 5: Solve for x
    x = 675,328,942,656/377,196
  6. Step 6: Final answer
    x = 1,790,392.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.