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Finding the Third Proportional to 80,888.63 and 122,464.41

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Solution

The third proportional to 80,888.63 and 122,464.41 is: 185,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,888.63 : 122,464.41 = 122,464.41 : x
  2. Step 2: Convert to fraction form
    80,888.63/122,464.41 = 122,464.41/x
  3. Step 3: Cross multiply
    80,888.63x = 122,464.41 × 122,464.41
  4. Step 4: Simplify right side
    80,888.63x = 14,997,530,798.17
  5. Step 5: Solve for x
    x = 14,997,530,798.17/80,888.63
  6. Step 6: Final answer
    x = 185,409.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.