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Finding the Third Proportional to 443,378 and 918,286

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Solution

The third proportional to 443,378 and 918,286 is: 1,901,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,378 : 918,286 = 918,286 : x
  2. Step 2: Convert to fraction form
    443,378/918,286 = 918,286/x
  3. Step 3: Cross multiply
    443,378x = 918,286 × 918,286
  4. Step 4: Simplify right side
    443,378x = 843,249,177,796
  5. Step 5: Solve for x
    x = 843,249,177,796/443,378
  6. Step 6: Final answer
    x = 1,901,874.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.