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Finding the Third Proportional to 80,546.63 and 122,941.13

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Solution

The third proportional to 80,546.63 and 122,941.13 is: 187,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,546.63 : 122,941.13 = 122,941.13 : x
  2. Step 2: Convert to fraction form
    80,546.63/122,941.13 = 122,941.13/x
  3. Step 3: Cross multiply
    80,546.63x = 122,941.13 × 122,941.13
  4. Step 4: Simplify right side
    80,546.63x = 15,114,520,216.27
  5. Step 5: Solve for x
    x = 15,114,520,216.27/80,546.63
  6. Step 6: Final answer
    x = 187,649.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.