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Finding the Third Proportional to 181,604 and 396,391

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Solution

The third proportional to 181,604 and 396,391 is: 865,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,604 : 396,391 = 396,391 : x
  2. Step 2: Convert to fraction form
    181,604/396,391 = 396,391/x
  3. Step 3: Cross multiply
    181,604x = 396,391 × 396,391
  4. Step 4: Simplify right side
    181,604x = 157,125,824,881
  5. Step 5: Solve for x
    x = 157,125,824,881/181,604
  6. Step 6: Final answer
    x = 865,211.26

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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.