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Finding the Third Proportional to 181,414 and 392,378

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Solution

The third proportional to 181,414 and 392,378 is: 848,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,414 : 392,378 = 392,378 : x
  2. Step 2: Convert to fraction form
    181,414/392,378 = 392,378/x
  3. Step 3: Cross multiply
    181,414x = 392,378 × 392,378
  4. Step 4: Simplify right side
    181,414x = 153,960,494,884
  5. Step 5: Solve for x
    x = 153,960,494,884/181,414
  6. Step 6: Final answer
    x = 848,669.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.