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Finding the Third Proportional to 208,687.25 and 311,802.25

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Solution

The third proportional to 208,687.25 and 311,802.25 is: 465,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,687.25 : 311,802.25 = 311,802.25 : x
  2. Step 2: Convert to fraction form
    208,687.25/311,802.25 = 311,802.25/x
  3. Step 3: Cross multiply
    208,687.25x = 311,802.25 × 311,802.25
  4. Step 4: Simplify right side
    208,687.25x = 97,220,643,105.06
  5. Step 5: Solve for x
    x = 97,220,643,105.06/208,687.25
  6. Step 6: Final answer
    x = 465,867.67

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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.