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Finding the Third Proportional to 208,356.13 and 311,162.25

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Solution

The third proportional to 208,356.13 and 311,162.25 is: 464,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,356.13 : 311,162.25 = 311,162.25 : x
  2. Step 2: Convert to fraction form
    208,356.13/311,162.25 = 311,162.25/x
  3. Step 3: Cross multiply
    208,356.13x = 311,162.25 × 311,162.25
  4. Step 4: Simplify right side
    208,356.13x = 96,821,945,825.06
  5. Step 5: Solve for x
    x = 96,821,945,825.06/208,356.13
  6. Step 6: Final answer
    x = 464,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.