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Finding the Third Proportional to 118,437 and 259,015.50

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Solution

The third proportional to 118,437 and 259,015.50 is: 566,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,437 : 259,015.50 = 259,015.50 : x
  2. Step 2: Convert to fraction form
    118,437/259,015.50 = 259,015.50/x
  3. Step 3: Cross multiply
    118,437x = 259,015.50 × 259,015.50
  4. Step 4: Simplify right side
    118,437x = 67,089,029,240.25
  5. Step 5: Solve for x
    x = 67,089,029,240.25/118,437
  6. Step 6: Final answer
    x = 566,453.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.