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Finding the Third Proportional to 428,124 and 666,699

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Solution

The third proportional to 428,124 and 666,699 is: 1,038,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,124 : 666,699 = 666,699 : x
  2. Step 2: Convert to fraction form
    428,124/666,699 = 666,699/x
  3. Step 3: Cross multiply
    428,124x = 666,699 × 666,699
  4. Step 4: Simplify right side
    428,124x = 444,487,556,601
  5. Step 5: Solve for x
    x = 444,487,556,601/428,124
  6. Step 6: Final answer
    x = 1,038,221.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.