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Finding the Third Proportional to 193,603 and 311,897

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Solution

The third proportional to 193,603 and 311,897 is: 502,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,603 : 311,897 = 311,897 : x
  2. Step 2: Convert to fraction form
    193,603/311,897 = 311,897/x
  3. Step 3: Cross multiply
    193,603x = 311,897 × 311,897
  4. Step 4: Simplify right side
    193,603x = 97,279,738,609
  5. Step 5: Solve for x
    x = 97,279,738,609/193,603
  6. Step 6: Final answer
    x = 502,470.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.