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Finding the Third Proportional to 291,821.44 and 639,001.31

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Solution

The third proportional to 291,821.44 and 639,001.31 is: 1,399,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,821.44 : 639,001.31 = 639,001.31 : x
  2. Step 2: Convert to fraction form
    291,821.44/639,001.31 = 639,001.31/x
  3. Step 3: Cross multiply
    291,821.44x = 639,001.31 × 639,001.31
  4. Step 4: Simplify right side
    291,821.44x = 408,322,677,376.72
  5. Step 5: Solve for x
    x = 408,322,677,376.72/291,821.44
  6. Step 6: Final answer
    x = 1,399,220.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.