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Finding the Third Proportional to 611,912 and 860,185

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Solution

The third proportional to 611,912 and 860,185 is: 1,209,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,912 : 860,185 = 860,185 : x
  2. Step 2: Convert to fraction form
    611,912/860,185 = 860,185/x
  3. Step 3: Cross multiply
    611,912x = 860,185 × 860,185
  4. Step 4: Simplify right side
    611,912x = 739,918,234,225
  5. Step 5: Solve for x
    x = 739,918,234,225/611,912
  6. Step 6: Final answer
    x = 1,209,190.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.