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Finding the Third Proportional to 136,171 and 299,215

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Solution

The third proportional to 136,171 and 299,215 is: 657,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,171 : 299,215 = 299,215 : x
  2. Step 2: Convert to fraction form
    136,171/299,215 = 299,215/x
  3. Step 3: Cross multiply
    136,171x = 299,215 × 299,215
  4. Step 4: Simplify right side
    136,171x = 89,529,616,225
  5. Step 5: Solve for x
    x = 89,529,616,225/136,171
  6. Step 6: Final answer
    x = 657,479.32

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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.