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Finding the Third Proportional to 681,514 and 990,556

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Solution

The third proportional to 681,514 and 990,556 is: 1,439,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,514 : 990,556 = 990,556 : x
  2. Step 2: Convert to fraction form
    681,514/990,556 = 990,556/x
  3. Step 3: Cross multiply
    681,514x = 990,556 × 990,556
  4. Step 4: Simplify right side
    681,514x = 981,201,189,136
  5. Step 5: Solve for x
    x = 981,201,189,136/681,514
  6. Step 6: Final answer
    x = 1,439,737.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.