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Finding the Third Proportional to 52,575.75 and 114,025.50

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Solution

The third proportional to 52,575.75 and 114,025.50 is: 247,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575.75 : 114,025.50 = 114,025.50 : x
  2. Step 2: Convert to fraction form
    52,575.75/114,025.50 = 114,025.50/x
  3. Step 3: Cross multiply
    52,575.75x = 114,025.50 × 114,025.50
  4. Step 4: Simplify right side
    52,575.75x = 13,001,814,650.25
  5. Step 5: Solve for x
    x = 13,001,814,650.25/52,575.75
  6. Step 6: Final answer
    x = 247,296.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.