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Finding the Third Proportional to 253,388 and 550,880

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Solution

The third proportional to 253,388 and 550,880 is: 1,197,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,388 : 550,880 = 550,880 : x
  2. Step 2: Convert to fraction form
    253,388/550,880 = 550,880/x
  3. Step 3: Cross multiply
    253,388x = 550,880 × 550,880
  4. Step 4: Simplify right side
    253,388x = 303,468,774,400
  5. Step 5: Solve for x
    x = 303,468,774,400/253,388
  6. Step 6: Final answer
    x = 1,197,644.62

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Why These Related Problems?

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