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Finding the Third Proportional to 174,534 and 388,556

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Solution

The third proportional to 174,534 and 388,556 is: 865,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,534 : 388,556 = 388,556 : x
  2. Step 2: Convert to fraction form
    174,534/388,556 = 388,556/x
  3. Step 3: Cross multiply
    174,534x = 388,556 × 388,556
  4. Step 4: Simplify right side
    174,534x = 150,975,765,136
  5. Step 5: Solve for x
    x = 150,975,765,136/174,534
  6. Step 6: Final answer
    x = 865,022.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.