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Finding the Third Proportional to 453,653 and 990,317

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Solution

The third proportional to 453,653 and 990,317 is: 2,161,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,653 : 990,317 = 990,317 : x
  2. Step 2: Convert to fraction form
    453,653/990,317 = 990,317/x
  3. Step 3: Cross multiply
    453,653x = 990,317 × 990,317
  4. Step 4: Simplify right side
    453,653x = 980,727,760,489
  5. Step 5: Solve for x
    x = 980,727,760,489/453,653
  6. Step 6: Final answer
    x = 2,161,845.64

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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.