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Finding the Third Proportional to 200,798 and 311,088

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Solution

The third proportional to 200,798 and 311,088 is: 481,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,798 : 311,088 = 311,088 : x
  2. Step 2: Convert to fraction form
    200,798/311,088 = 311,088/x
  3. Step 3: Cross multiply
    200,798x = 311,088 × 311,088
  4. Step 4: Simplify right side
    200,798x = 96,775,743,744
  5. Step 5: Solve for x
    x = 96,775,743,744/200,798
  6. Step 6: Final answer
    x = 481,955.72

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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.