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Finding the Third Proportional to 189,731 and 288,481.50

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Solution

The third proportional to 189,731 and 288,481.50 is: 438,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,731 : 288,481.50 = 288,481.50 : x
  2. Step 2: Convert to fraction form
    189,731/288,481.50 = 288,481.50/x
  3. Step 3: Cross multiply
    189,731x = 288,481.50 × 288,481.50
  4. Step 4: Simplify right side
    189,731x = 83,221,575,842.25
  5. Step 5: Solve for x
    x = 83,221,575,842.25/189,731
  6. Step 6: Final answer
    x = 438,629.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.