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Finding the Third Proportional to 286,096 and 388,556

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Solution

The third proportional to 286,096 and 388,556 is: 527,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,096 : 388,556 = 388,556 : x
  2. Step 2: Convert to fraction form
    286,096/388,556 = 388,556/x
  3. Step 3: Cross multiply
    286,096x = 388,556 × 388,556
  4. Step 4: Simplify right side
    286,096x = 150,975,765,136
  5. Step 5: Solve for x
    x = 150,975,765,136/286,096
  6. Step 6: Final answer
    x = 527,710.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.