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Finding the Third Proportional to 423,047 and 647,967

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Solution

The third proportional to 423,047 and 647,967 is: 992,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,047 : 647,967 = 647,967 : x
  2. Step 2: Convert to fraction form
    423,047/647,967 = 647,967/x
  3. Step 3: Cross multiply
    423,047x = 647,967 × 647,967
  4. Step 4: Simplify right side
    423,047x = 419,861,233,089
  5. Step 5: Solve for x
    x = 419,861,233,089/423,047
  6. Step 6: Final answer
    x = 992,469.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.