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Finding the Third Proportional to 389,115 and 852,039

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Solution

The third proportional to 389,115 and 852,039 is: 1,865,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,115 : 852,039 = 852,039 : x
  2. Step 2: Convert to fraction form
    389,115/852,039 = 852,039/x
  3. Step 3: Cross multiply
    389,115x = 852,039 × 852,039
  4. Step 4: Simplify right side
    389,115x = 725,970,457,521
  5. Step 5: Solve for x
    x = 725,970,457,521/389,115
  6. Step 6: Final answer
    x = 1,865,696.41

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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.