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Finding the Third Proportional to 420,975 and 641,970

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Solution

The third proportional to 420,975 and 641,970 is: 978,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,975 : 641,970 = 641,970 : x
  2. Step 2: Convert to fraction form
    420,975/641,970 = 641,970/x
  3. Step 3: Cross multiply
    420,975x = 641,970 × 641,970
  4. Step 4: Simplify right side
    420,975x = 412,125,480,900
  5. Step 5: Solve for x
    x = 412,125,480,900/420,975
  6. Step 6: Final answer
    x = 978,978.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.