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Finding the Third Proportional to 398,390 and 860,164

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Solution

The third proportional to 398,390 and 860,164 is: 1,857,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,390 : 860,164 = 860,164 : x
  2. Step 2: Convert to fraction form
    398,390/860,164 = 860,164/x
  3. Step 3: Cross multiply
    398,390x = 860,164 × 860,164
  4. Step 4: Simplify right side
    398,390x = 739,882,106,896
  5. Step 5: Solve for x
    x = 739,882,106,896/398,390
  6. Step 6: Final answer
    x = 1,857,180.42

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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.