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Finding the Third Proportional to 193,999.50 and 301,086

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Solution

The third proportional to 193,999.50 and 301,086 is: 467,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,999.50 : 301,086 = 301,086 : x
  2. Step 2: Convert to fraction form
    193,999.50/301,086 = 301,086/x
  3. Step 3: Cross multiply
    193,999.50x = 301,086 × 301,086
  4. Step 4: Simplify right side
    193,999.50x = 90,652,779,396
  5. Step 5: Solve for x
    x = 90,652,779,396/193,999.50
  6. Step 6: Final answer
    x = 467,283.57

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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.