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Finding the Third Proportional to 208,081.09 and 312,150.47

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Solution

The third proportional to 208,081.09 and 312,150.47 is: 468,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081.09 : 312,150.47 = 312,150.47 : x
  2. Step 2: Convert to fraction form
    208,081.09/312,150.47 = 312,150.47/x
  3. Step 3: Cross multiply
    208,081.09x = 312,150.47 × 312,150.47
  4. Step 4: Simplify right side
    208,081.09x = 97,437,914,226.33
  5. Step 5: Solve for x
    x = 97,437,914,226.33/208,081.09
  6. Step 6: Final answer
    x = 468,268.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.