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Finding the Third Proportional to 648,200 and 860,137

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Solution

The third proportional to 648,200 and 860,137 is: 1,141,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,200 : 860,137 = 860,137 : x
  2. Step 2: Convert to fraction form
    648,200/860,137 = 860,137/x
  3. Step 3: Cross multiply
    648,200x = 860,137 × 860,137
  4. Step 4: Simplify right side
    648,200x = 739,835,658,769
  5. Step 5: Solve for x
    x = 739,835,658,769/648,200
  6. Step 6: Final answer
    x = 1,141,369.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.