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Finding the Third Proportional to 183,780 and 397,692

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Solution

The third proportional to 183,780 and 397,692 is: 860,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,780 : 397,692 = 397,692 : x
  2. Step 2: Convert to fraction form
    183,780/397,692 = 397,692/x
  3. Step 3: Cross multiply
    183,780x = 397,692 × 397,692
  4. Step 4: Simplify right side
    183,780x = 158,158,926,864
  5. Step 5: Solve for x
    x = 158,158,926,864/183,780
  6. Step 6: Final answer
    x = 860,588.35

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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.