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Finding the Third Proportional to 640,958 and 978,387

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Solution

The third proportional to 640,958 and 978,387 is: 1,493,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,958 : 978,387 = 978,387 : x
  2. Step 2: Convert to fraction form
    640,958/978,387 = 978,387/x
  3. Step 3: Cross multiply
    640,958x = 978,387 × 978,387
  4. Step 4: Simplify right side
    640,958x = 957,241,121,769
  5. Step 5: Solve for x
    x = 957,241,121,769/640,958
  6. Step 6: Final answer
    x = 1,493,453.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.