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Finding the Third Proportional to 421,132 and 920,992

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Solution

The third proportional to 421,132 and 920,992 is: 2,014,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,132 : 920,992 = 920,992 : x
  2. Step 2: Convert to fraction form
    421,132/920,992 = 920,992/x
  3. Step 3: Cross multiply
    421,132x = 920,992 × 920,992
  4. Step 4: Simplify right side
    421,132x = 848,226,264,064
  5. Step 5: Solve for x
    x = 848,226,264,064/421,132
  6. Step 6: Final answer
    x = 2,014,157.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.