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Finding the Third Proportional to 420,958 and 641,943

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Solution

The third proportional to 420,958 and 641,943 is: 978,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,958 : 641,943 = 641,943 : x
  2. Step 2: Convert to fraction form
    420,958/641,943 = 641,943/x
  3. Step 3: Cross multiply
    420,958x = 641,943 × 641,943
  4. Step 4: Simplify right side
    420,958x = 412,090,815,249
  5. Step 5: Solve for x
    x = 412,090,815,249/420,958
  6. Step 6: Final answer
    x = 978,935.70

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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.