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Finding the Third Proportional to 389,619 and 587,007

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Solution

The third proportional to 389,619 and 587,007 is: 884,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619 : 587,007 = 587,007 : x
  2. Step 2: Convert to fraction form
    389,619/587,007 = 587,007/x
  3. Step 3: Cross multiply
    389,619x = 587,007 × 587,007
  4. Step 4: Simplify right side
    389,619x = 344,577,218,049
  5. Step 5: Solve for x
    x = 344,577,218,049/389,619
  6. Step 6: Final answer
    x = 884,395.31

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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.