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Finding the Third Proportional to 421,599 and 920,244

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Solution

The third proportional to 421,599 and 920,244 is: 2,008,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,599 : 920,244 = 920,244 : x
  2. Step 2: Convert to fraction form
    421,599/920,244 = 920,244/x
  3. Step 3: Cross multiply
    421,599x = 920,244 × 920,244
  4. Step 4: Simplify right side
    421,599x = 846,849,019,536
  5. Step 5: Solve for x
    x = 846,849,019,536/421,599
  6. Step 6: Final answer
    x = 2,008,659.93

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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.