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Finding the Third Proportional to 193,251 and 288,987

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Solution

The third proportional to 193,251 and 288,987 is: 432,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,251 : 288,987 = 288,987 : x
  2. Step 2: Convert to fraction form
    193,251/288,987 = 288,987/x
  3. Step 3: Cross multiply
    193,251x = 288,987 × 288,987
  4. Step 4: Simplify right side
    193,251x = 83,513,486,169
  5. Step 5: Solve for x
    x = 83,513,486,169/193,251
  6. Step 6: Final answer
    x = 432,150.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.