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Finding the Third Proportional to 420,948 and 641,928

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Solution

The third proportional to 420,948 and 641,928 is: 978,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,948 : 641,928 = 641,928 : x
  2. Step 2: Convert to fraction form
    420,948/641,928 = 641,928/x
  3. Step 3: Cross multiply
    420,948x = 641,928 × 641,928
  4. Step 4: Simplify right side
    420,948x = 412,071,557,184
  5. Step 5: Solve for x
    x = 412,071,557,184/420,948
  6. Step 6: Final answer
    x = 978,913.21

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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.