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Finding the Third Proportional to 408,906 and 834,430

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Solution

The third proportional to 408,906 and 834,430 is: 1,702,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906 : 834,430 = 834,430 : x
  2. Step 2: Convert to fraction form
    408,906/834,430 = 834,430/x
  3. Step 3: Cross multiply
    408,906x = 834,430 × 834,430
  4. Step 4: Simplify right side
    408,906x = 696,273,424,900
  5. Step 5: Solve for x
    x = 696,273,424,900/408,906
  6. Step 6: Final answer
    x = 1,702,771.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.