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Finding the Third Proportional to 445,256 and 689,556

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Solution

The third proportional to 445,256 and 689,556 is: 1,067,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,256 : 689,556 = 689,556 : x
  2. Step 2: Convert to fraction form
    445,256/689,556 = 689,556/x
  3. Step 3: Cross multiply
    445,256x = 689,556 × 689,556
  4. Step 4: Simplify right side
    445,256x = 475,487,477,136
  5. Step 5: Solve for x
    x = 475,487,477,136/445,256
  6. Step 6: Final answer
    x = 1,067,896.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.