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Finding the Third Proportional to 294,975 and 639,999

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Solution

The third proportional to 294,975 and 639,999 is: 1,388,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,975 : 639,999 = 639,999 : x
  2. Step 2: Convert to fraction form
    294,975/639,999 = 639,999/x
  3. Step 3: Cross multiply
    294,975x = 639,999 × 639,999
  4. Step 4: Simplify right side
    294,975x = 409,598,720,001
  5. Step 5: Solve for x
    x = 409,598,720,001/294,975
  6. Step 6: Final answer
    x = 1,388,587.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.