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Finding the Third Proportional to 208,858.50 and 279,047.53

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Solution

The third proportional to 208,858.50 and 279,047.53 is: 372,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.50 : 279,047.53 = 279,047.53 : x
  2. Step 2: Convert to fraction form
    208,858.50/279,047.53 = 279,047.53/x
  3. Step 3: Cross multiply
    208,858.50x = 279,047.53 × 279,047.53
  4. Step 4: Simplify right side
    208,858.50x = 77,867,524,696.72
  5. Step 5: Solve for x
    x = 77,867,524,696.72/208,858.50
  6. Step 6: Final answer
    x = 372,824.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.