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Finding the Third Proportional to 493,782 and 1,062,475.50

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Solution

The third proportional to 493,782 and 1,062,475.50 is: 2,286,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,782 : 1,062,475.50 = 1,062,475.50 : x
  2. Step 2: Convert to fraction form
    493,782/1,062,475.50 = 1,062,475.50/x
  3. Step 3: Cross multiply
    493,782x = 1,062,475.50 × 1,062,475.50
  4. Step 4: Simplify right side
    493,782x = 1,128,854,188,100.25
  5. Step 5: Solve for x
    x = 1,128,854,188,100.25/493,782
  6. Step 6: Final answer
    x = 2,286,138.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.