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Finding the Third Proportional to 178,313 and 388,612

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Solution

The third proportional to 178,313 and 388,612 is: 846,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,313 : 388,612 = 388,612 : x
  2. Step 2: Convert to fraction form
    178,313/388,612 = 388,612/x
  3. Step 3: Cross multiply
    178,313x = 388,612 × 388,612
  4. Step 4: Simplify right side
    178,313x = 151,019,286,544
  5. Step 5: Solve for x
    x = 151,019,286,544/178,313
  6. Step 6: Final answer
    x = 846,933.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.