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Finding the Third Proportional to 661,404 and 990,228

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Solution

The third proportional to 661,404 and 990,228 is: 1,482,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,404 : 990,228 = 990,228 : x
  2. Step 2: Convert to fraction form
    661,404/990,228 = 990,228/x
  3. Step 3: Cross multiply
    661,404x = 990,228 × 990,228
  4. Step 4: Simplify right side
    661,404x = 980,551,491,984
  5. Step 5: Solve for x
    x = 980,551,491,984/661,404
  6. Step 6: Final answer
    x = 1,482,530.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.