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Finding the Third Proportional to 412,872.75 and 638,096.63

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Solution

The third proportional to 412,872.75 and 638,096.63 is: 986,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,872.75 : 638,096.63 = 638,096.63 : x
  2. Step 2: Convert to fraction form
    412,872.75/638,096.63 = 638,096.63/x
  3. Step 3: Cross multiply
    412,872.75x = 638,096.63 × 638,096.63
  4. Step 4: Simplify right side
    412,872.75x = 407,167,302,836.39
  5. Step 5: Solve for x
    x = 407,167,302,836.39/412,872.75
  6. Step 6: Final answer
    x = 986,181.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.