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Finding the Third Proportional to 635,427 and 990,653

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Solution

The third proportional to 635,427 and 990,653 is: 1,544,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,427 : 990,653 = 990,653 : x
  2. Step 2: Convert to fraction form
    635,427/990,653 = 990,653/x
  3. Step 3: Cross multiply
    635,427x = 990,653 × 990,653
  4. Step 4: Simplify right side
    635,427x = 981,393,366,409
  5. Step 5: Solve for x
    x = 981,393,366,409/635,427
  6. Step 6: Final answer
    x = 1,544,462.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.