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Finding the Third Proportional to 213,896 and 245,000

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Solution

The third proportional to 213,896 and 245,000 is: 280,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,896 : 245,000 = 245,000 : x
  2. Step 2: Convert to fraction form
    213,896/245,000 = 245,000/x
  3. Step 3: Cross multiply
    213,896x = 245,000 × 245,000
  4. Step 4: Simplify right side
    213,896x = 60,025,000,000
  5. Step 5: Solve for x
    x = 60,025,000,000/213,896
  6. Step 6: Final answer
    x = 280,627.03

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.