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Finding the Third Proportional to 428,816 and 647,592

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Solution

The third proportional to 428,816 and 647,592 is: 977,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,816 : 647,592 = 647,592 : x
  2. Step 2: Convert to fraction form
    428,816/647,592 = 647,592/x
  3. Step 3: Cross multiply
    428,816x = 647,592 × 647,592
  4. Step 4: Simplify right side
    428,816x = 419,375,398,464
  5. Step 5: Solve for x
    x = 419,375,398,464/428,816
  6. Step 6: Final answer
    x = 977,984.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.