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Finding the Third Proportional to 80,999.63 and 176,738.63

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Solution

The third proportional to 80,999.63 and 176,738.63 is: 385,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,999.63 : 176,738.63 = 176,738.63 : x
  2. Step 2: Convert to fraction form
    80,999.63/176,738.63 = 176,738.63/x
  3. Step 3: Cross multiply
    80,999.63x = 176,738.63 × 176,738.63
  4. Step 4: Simplify right side
    80,999.63x = 31,236,541,566.89
  5. Step 5: Solve for x
    x = 31,236,541,566.89/80,999.63
  6. Step 6: Final answer
    x = 385,638.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.