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Finding the Third Proportional to 394,169 and 864,639

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Solution

The third proportional to 394,169 and 864,639 is: 1,896,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,169 : 864,639 = 864,639 : x
  2. Step 2: Convert to fraction form
    394,169/864,639 = 864,639/x
  3. Step 3: Cross multiply
    394,169x = 864,639 × 864,639
  4. Step 4: Simplify right side
    394,169x = 747,600,600,321
  5. Step 5: Solve for x
    x = 747,600,600,321/394,169
  6. Step 6: Final answer
    x = 1,896,649.91

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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.