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Finding the Third Proportional to 201,117 and 311,609

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Solution

The third proportional to 201,117 and 311,609 is: 482,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,117 : 311,609 = 311,609 : x
  2. Step 2: Convert to fraction form
    201,117/311,609 = 311,609/x
  3. Step 3: Cross multiply
    201,117x = 311,609 × 311,609
  4. Step 4: Simplify right side
    201,117x = 97,100,168,881
  5. Step 5: Solve for x
    x = 97,100,168,881/201,117
  6. Step 6: Final answer
    x = 482,804.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.