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Finding the Third Proportional to 492,288 and 737,610.75

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Solution

The third proportional to 492,288 and 737,610.75 is: 1,105,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,288 : 737,610.75 = 737,610.75 : x
  2. Step 2: Convert to fraction form
    492,288/737,610.75 = 737,610.75/x
  3. Step 3: Cross multiply
    492,288x = 737,610.75 × 737,610.75
  4. Step 4: Simplify right side
    492,288x = 544,069,618,515.56
  5. Step 5: Solve for x
    x = 544,069,618,515.56/492,288
  6. Step 6: Final answer
    x = 1,105,185.62

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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.