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Finding the Third Proportional to 136,116 and 289,512

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Solution

The third proportional to 136,116 and 289,512 is: 615,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,116 : 289,512 = 289,512 : x
  2. Step 2: Convert to fraction form
    136,116/289,512 = 289,512/x
  3. Step 3: Cross multiply
    136,116x = 289,512 × 289,512
  4. Step 4: Simplify right side
    136,116x = 83,817,198,144
  5. Step 5: Solve for x
    x = 83,817,198,144/136,116
  6. Step 6: Final answer
    x = 615,777.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.