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Finding the Third Proportional to 389,796 and 837,612

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Solution

The third proportional to 389,796 and 837,612 is: 1,799,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,796 : 837,612 = 837,612 : x
  2. Step 2: Convert to fraction form
    389,796/837,612 = 837,612/x
  3. Step 3: Cross multiply
    389,796x = 837,612 × 837,612
  4. Step 4: Simplify right side
    389,796x = 701,593,862,544
  5. Step 5: Solve for x
    x = 701,593,862,544/389,796
  6. Step 6: Final answer
    x = 1,799,900.11

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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.