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Finding the Third Proportional to 181,412 and 392,374

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Solution

The third proportional to 181,412 and 392,374 is: 848,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,412 : 392,374 = 392,374 : x
  2. Step 2: Convert to fraction form
    181,412/392,374 = 392,374/x
  3. Step 3: Cross multiply
    181,412x = 392,374 × 392,374
  4. Step 4: Simplify right side
    181,412x = 153,957,355,876
  5. Step 5: Solve for x
    x = 153,957,355,876/181,412
  6. Step 6: Final answer
    x = 848,661.37

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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.