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Finding the Third Proportional to 208,689 and 311,805

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Solution

The third proportional to 208,689 and 311,805 is: 465,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,689 : 311,805 = 311,805 : x
  2. Step 2: Convert to fraction form
    208,689/311,805 = 311,805/x
  3. Step 3: Cross multiply
    208,689x = 311,805 × 311,805
  4. Step 4: Simplify right side
    208,689x = 97,222,358,025
  5. Step 5: Solve for x
    x = 97,222,358,025/208,689
  6. Step 6: Final answer
    x = 465,871.98

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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.