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Finding the Third Proportional to 81,779.63 and 176,453.44

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Solution

The third proportional to 81,779.63 and 176,453.44 is: 380,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,779.63 : 176,453.44 = 176,453.44 : x
  2. Step 2: Convert to fraction form
    81,779.63/176,453.44 = 176,453.44/x
  3. Step 3: Cross multiply
    81,779.63x = 176,453.44 × 176,453.44
  4. Step 4: Simplify right side
    81,779.63x = 31,135,815,605.57
  5. Step 5: Solve for x
    x = 31,135,815,605.57/81,779.63
  6. Step 6: Final answer
    x = 380,728.28

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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.