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Finding the Third Proportional to 428,120 and 666,693

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Solution

The third proportional to 428,120 and 666,693 is: 1,038,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,120 : 666,693 = 666,693 : x
  2. Step 2: Convert to fraction form
    428,120/666,693 = 666,693/x
  3. Step 3: Cross multiply
    428,120x = 666,693 × 666,693
  4. Step 4: Simplify right side
    428,120x = 444,479,556,249
  5. Step 5: Solve for x
    x = 444,479,556,249/428,120
  6. Step 6: Final answer
    x = 1,038,212.55

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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.