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Finding the Third Proportional to 200,753 and 311,030

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Solution

The third proportional to 200,753 and 311,030 is: 481,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753 : 311,030 = 311,030 : x
  2. Step 2: Convert to fraction form
    200,753/311,030 = 311,030/x
  3. Step 3: Cross multiply
    200,753x = 311,030 × 311,030
  4. Step 4: Simplify right side
    200,753x = 96,739,660,900
  5. Step 5: Solve for x
    x = 96,739,660,900/200,753
  6. Step 6: Final answer
    x = 481,884.01

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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.