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Finding the Third Proportional to 453,669 and 990,441

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Solution

The third proportional to 453,669 and 990,441 is: 2,162,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,669 : 990,441 = 990,441 : x
  2. Step 2: Convert to fraction form
    453,669/990,441 = 990,441/x
  3. Step 3: Cross multiply
    453,669x = 990,441 × 990,441
  4. Step 4: Simplify right side
    453,669x = 980,973,374,481
  5. Step 5: Solve for x
    x = 980,973,374,481/453,669
  6. Step 6: Final answer
    x = 2,162,310.79

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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.