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Finding the Third Proportional to 208,106.72 and 281,200.36

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Solution

The third proportional to 208,106.72 and 281,200.36 is: 379,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,106.72 : 281,200.36 = 281,200.36 : x
  2. Step 2: Convert to fraction form
    208,106.72/281,200.36 = 281,200.36/x
  3. Step 3: Cross multiply
    208,106.72x = 281,200.36 × 281,200.36
  4. Step 4: Simplify right side
    208,106.72x = 79,073,642,112.63
  5. Step 5: Solve for x
    x = 79,073,642,112.63/208,106.72
  6. Step 6: Final answer
    x = 379,966.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.