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Finding the Third Proportional to 84,219.75 and 180,761.63

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Solution

The third proportional to 84,219.75 and 180,761.63 is: 387,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219.75 : 180,761.63 = 180,761.63 : x
  2. Step 2: Convert to fraction form
    84,219.75/180,761.63 = 180,761.63/x
  3. Step 3: Cross multiply
    84,219.75x = 180,761.63 × 180,761.63
  4. Step 4: Simplify right side
    84,219.75x = 32,674,765,072.64
  5. Step 5: Solve for x
    x = 32,674,765,072.64/84,219.75
  6. Step 6: Final answer
    x = 387,970.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.