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Finding the Third Proportional to 611,916 and 860,190

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Solution

The third proportional to 611,916 and 860,190 is: 1,209,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,916 : 860,190 = 860,190 : x
  2. Step 2: Convert to fraction form
    611,916/860,190 = 860,190/x
  3. Step 3: Cross multiply
    611,916x = 860,190 × 860,190
  4. Step 4: Simplify right side
    611,916x = 739,926,836,100
  5. Step 5: Solve for x
    x = 739,926,836,100/611,916
  6. Step 6: Final answer
    x = 1,209,196.75

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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.