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Finding the Third Proportional to 136,530 and 299,303

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Solution

The third proportional to 136,530 and 299,303 is: 656,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,530 : 299,303 = 299,303 : x
  2. Step 2: Convert to fraction form
    136,530/299,303 = 299,303/x
  3. Step 3: Cross multiply
    136,530x = 299,303 × 299,303
  4. Step 4: Simplify right side
    136,530x = 89,582,285,809
  5. Step 5: Solve for x
    x = 89,582,285,809/136,530
  6. Step 6: Final answer
    x = 656,136.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.