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Finding the Third Proportional to 84,780 and 184,140

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Solution

The third proportional to 84,780 and 184,140 is: 399,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,780 : 184,140 = 184,140 : x
  2. Step 2: Convert to fraction form
    84,780/184,140 = 184,140/x
  3. Step 3: Cross multiply
    84,780x = 184,140 × 184,140
  4. Step 4: Simplify right side
    84,780x = 33,907,539,600
  5. Step 5: Solve for x
    x = 33,907,539,600/84,780
  6. Step 6: Final answer
    x = 399,947.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.