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Finding the Third Proportional to 394,698 and 864,513

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Solution

The third proportional to 394,698 and 864,513 is: 1,893,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,698 : 864,513 = 864,513 : x
  2. Step 2: Convert to fraction form
    394,698/864,513 = 864,513/x
  3. Step 3: Cross multiply
    394,698x = 864,513 × 864,513
  4. Step 4: Simplify right side
    394,698x = 747,382,727,169
  5. Step 5: Solve for x
    x = 747,382,727,169/394,698
  6. Step 6: Final answer
    x = 1,893,555.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.