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Finding the Third Proportional to 421,440 and 667,152

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Solution

The third proportional to 421,440 and 667,152 is: 1,056,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,440 : 667,152 = 667,152 : x
  2. Step 2: Convert to fraction form
    421,440/667,152 = 667,152/x
  3. Step 3: Cross multiply
    421,440x = 667,152 × 667,152
  4. Step 4: Simplify right side
    421,440x = 445,091,791,104
  5. Step 5: Solve for x
    x = 445,091,791,104/421,440
  6. Step 6: Final answer
    x = 1,056,121.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.