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Finding the Third Proportional to 252,738 and 380,133

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Solution

The third proportional to 252,738 and 380,133 is: 571,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,738 : 380,133 = 380,133 : x
  2. Step 2: Convert to fraction form
    252,738/380,133 = 380,133/x
  3. Step 3: Cross multiply
    252,738x = 380,133 × 380,133
  4. Step 4: Simplify right side
    252,738x = 144,501,097,689
  5. Step 5: Solve for x
    x = 144,501,097,689/252,738
  6. Step 6: Final answer
    x = 571,742.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.