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Finding the Third Proportional to 389,734 and 837,484

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Solution

The third proportional to 389,734 and 837,484 is: 1,799,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,734 : 837,484 = 837,484 : x
  2. Step 2: Convert to fraction form
    389,734/837,484 = 837,484/x
  3. Step 3: Cross multiply
    389,734x = 837,484 × 837,484
  4. Step 4: Simplify right side
    389,734x = 701,379,450,256
  5. Step 5: Solve for x
    x = 701,379,450,256/389,734
  6. Step 6: Final answer
    x = 1,799,636.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.