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Finding the Third Proportional to 247,257 and 335,880

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Solution

The third proportional to 247,257 and 335,880 is: 456,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,257 : 335,880 = 335,880 : x
  2. Step 2: Convert to fraction form
    247,257/335,880 = 335,880/x
  3. Step 3: Cross multiply
    247,257x = 335,880 × 335,880
  4. Step 4: Simplify right side
    247,257x = 112,815,374,400
  5. Step 5: Solve for x
    x = 112,815,374,400/247,257
  6. Step 6: Final answer
    x = 456,267.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.