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Finding the Third Proportional to 410,284 and 862,036

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Solution

The third proportional to 410,284 and 862,036 is: 1,811,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,284 : 862,036 = 862,036 : x
  2. Step 2: Convert to fraction form
    410,284/862,036 = 862,036/x
  3. Step 3: Cross multiply
    410,284x = 862,036 × 862,036
  4. Step 4: Simplify right side
    410,284x = 743,106,065,296
  5. Step 5: Solve for x
    x = 743,106,065,296/410,284
  6. Step 6: Final answer
    x = 1,811,199.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.