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Finding the Third Proportional to 428,976 and 679,824

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Solution

The third proportional to 428,976 and 679,824 is: 1,077,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,976 : 679,824 = 679,824 : x
  2. Step 2: Convert to fraction form
    428,976/679,824 = 679,824/x
  3. Step 3: Cross multiply
    428,976x = 679,824 × 679,824
  4. Step 4: Simplify right side
    428,976x = 462,160,670,976
  5. Step 5: Solve for x
    x = 462,160,670,976/428,976
  6. Step 6: Final answer
    x = 1,077,357.87

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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.