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Finding the Third Proportional to 136,169 and 299,211

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Solution

The third proportional to 136,169 and 299,211 is: 657,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,169 : 299,211 = 299,211 : x
  2. Step 2: Convert to fraction form
    136,169/299,211 = 299,211/x
  3. Step 3: Cross multiply
    136,169x = 299,211 × 299,211
  4. Step 4: Simplify right side
    136,169x = 89,527,222,521
  5. Step 5: Solve for x
    x = 89,527,222,521/136,169
  6. Step 6: Final answer
    x = 657,471.40

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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.