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Finding the Third Proportional to 400,792 and 834,646

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Solution

The third proportional to 400,792 and 834,646 is: 1,738,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,792 : 834,646 = 834,646 : x
  2. Step 2: Convert to fraction form
    400,792/834,646 = 834,646/x
  3. Step 3: Cross multiply
    400,792x = 834,646 × 834,646
  4. Step 4: Simplify right side
    400,792x = 696,633,945,316
  5. Step 5: Solve for x
    x = 696,633,945,316/400,792
  6. Step 6: Final answer
    x = 1,738,143.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.