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Finding the Third Proportional to 492,021 and 1,080,909

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Solution

The third proportional to 492,021 and 1,080,909 is: 2,374,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,021 : 1,080,909 = 1,080,909 : x
  2. Step 2: Convert to fraction form
    492,021/1,080,909 = 1,080,909/x
  3. Step 3: Cross multiply
    492,021x = 1,080,909 × 1,080,909
  4. Step 4: Simplify right side
    492,021x = 1,168,364,266,281
  5. Step 5: Solve for x
    x = 1,168,364,266,281/492,021
  6. Step 6: Final answer
    x = 2,374,622.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.