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Finding the Third Proportional to 405,135 and 860,211

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Solution

The third proportional to 405,135 and 860,211 is: 1,826,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,135 : 860,211 = 860,211 : x
  2. Step 2: Convert to fraction form
    405,135/860,211 = 860,211/x
  3. Step 3: Cross multiply
    405,135x = 860,211 × 860,211
  4. Step 4: Simplify right side
    405,135x = 739,962,964,521
  5. Step 5: Solve for x
    x = 739,962,964,521/405,135
  6. Step 6: Final answer
    x = 1,826,460.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.