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Finding the Third Proportional to 398,780 and 860,173

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Solution

The third proportional to 398,780 and 860,173 is: 1,855,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,780 : 860,173 = 860,173 : x
  2. Step 2: Convert to fraction form
    398,780/860,173 = 860,173/x
  3. Step 3: Cross multiply
    398,780x = 860,173 × 860,173
  4. Step 4: Simplify right side
    398,780x = 739,897,589,929
  5. Step 5: Solve for x
    x = 739,897,589,929/398,780
  6. Step 6: Final answer
    x = 1,855,402.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.