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Finding the Third Proportional to 421,022 and 803,244

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Solution

The third proportional to 421,022 and 803,244 is: 1,532,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,022 : 803,244 = 803,244 : x
  2. Step 2: Convert to fraction form
    421,022/803,244 = 803,244/x
  3. Step 3: Cross multiply
    421,022x = 803,244 × 803,244
  4. Step 4: Simplify right side
    421,022x = 645,200,923,536
  5. Step 5: Solve for x
    x = 645,200,923,536/421,022
  6. Step 6: Final answer
    x = 1,532,463.68

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.