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Finding the Third Proportional to 178,820 and 388,396

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Solution

The third proportional to 178,820 and 388,396 is: 843,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,820 : 388,396 = 388,396 : x
  2. Step 2: Convert to fraction form
    178,820/388,396 = 388,396/x
  3. Step 3: Cross multiply
    178,820x = 388,396 × 388,396
  4. Step 4: Simplify right side
    178,820x = 150,851,452,816
  5. Step 5: Solve for x
    x = 150,851,452,816/178,820
  6. Step 6: Final answer
    x = 843,593.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.