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Finding the Third Proportional to 421,396 and 918,536

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Solution

The third proportional to 421,396 and 918,536 is: 2,002,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,396 : 918,536 = 918,536 : x
  2. Step 2: Convert to fraction form
    421,396/918,536 = 918,536/x
  3. Step 3: Cross multiply
    421,396x = 918,536 × 918,536
  4. Step 4: Simplify right side
    421,396x = 843,708,383,296
  5. Step 5: Solve for x
    x = 843,708,383,296/421,396
  6. Step 6: Final answer
    x = 2,002,174.64

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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.