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Finding the Third Proportional to 421,595 and 920,236

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Solution

The third proportional to 421,595 and 920,236 is: 2,008,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,595 : 920,236 = 920,236 : x
  2. Step 2: Convert to fraction form
    421,595/920,236 = 920,236/x
  3. Step 3: Cross multiply
    421,595x = 920,236 × 920,236
  4. Step 4: Simplify right side
    421,595x = 846,834,295,696
  5. Step 5: Solve for x
    x = 846,834,295,696/421,595
  6. Step 6: Final answer
    x = 2,008,644.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.