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Finding the Third Proportional to 136,453 and 299,698

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Solution

The third proportional to 136,453 and 299,698 is: 658,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,453 : 299,698 = 299,698 : x
  2. Step 2: Convert to fraction form
    136,453/299,698 = 299,698/x
  3. Step 3: Cross multiply
    136,453x = 299,698 × 299,698
  4. Step 4: Simplify right side
    136,453x = 89,818,891,204
  5. Step 5: Solve for x
    x = 89,818,891,204/136,453
  6. Step 6: Final answer
    x = 658,240.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.