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Finding the Third Proportional to 41,733 and 64,147.50

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Solution

The third proportional to 41,733 and 64,147.50 is: 98,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,733 : 64,147.50 = 64,147.50 : x
  2. Step 2: Convert to fraction form
    41,733/64,147.50 = 64,147.50/x
  3. Step 3: Cross multiply
    41,733x = 64,147.50 × 64,147.50
  4. Step 4: Simplify right side
    41,733x = 4,114,901,756.25
  5. Step 5: Solve for x
    x = 4,114,901,756.25/41,733
  6. Step 6: Final answer
    x = 98,600.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.