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Finding the Third Proportional to 178,487 and 388,078

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Solution

The third proportional to 178,487 and 388,078 is: 843,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,487 : 388,078 = 388,078 : x
  2. Step 2: Convert to fraction form
    178,487/388,078 = 388,078/x
  3. Step 3: Cross multiply
    178,487x = 388,078 × 388,078
  4. Step 4: Simplify right side
    178,487x = 150,604,534,084
  5. Step 5: Solve for x
    x = 150,604,534,084/178,487
  6. Step 6: Final answer
    x = 843,784.33

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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.