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Finding the Third Proportional to 394,700 and 830,661

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Solution

The third proportional to 394,700 and 830,661 is: 1,748,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,700 : 830,661 = 830,661 : x
  2. Step 2: Convert to fraction form
    394,700/830,661 = 830,661/x
  3. Step 3: Cross multiply
    394,700x = 830,661 × 830,661
  4. Step 4: Simplify right side
    394,700x = 689,997,696,921
  5. Step 5: Solve for x
    x = 689,997,696,921/394,700
  6. Step 6: Final answer
    x = 1,748,157.33

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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.