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Finding the Third Proportional to 138,611.25 and 208,696.50

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Solution

The third proportional to 138,611.25 and 208,696.50 is: 314,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,611.25 : 208,696.50 = 208,696.50 : x
  2. Step 2: Convert to fraction form
    138,611.25/208,696.50 = 208,696.50/x
  3. Step 3: Cross multiply
    138,611.25x = 208,696.50 × 208,696.50
  4. Step 4: Simplify right side
    138,611.25x = 43,554,229,112.25
  5. Step 5: Solve for x
    x = 43,554,229,112.25/138,611.25
  6. Step 6: Final answer
    x = 314,218.57

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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.