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Finding the Third Proportional to 713,427 and 978,286

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Solution

The third proportional to 713,427 and 978,286 is: 1,341,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,427 : 978,286 = 978,286 : x
  2. Step 2: Convert to fraction form
    713,427/978,286 = 978,286/x
  3. Step 3: Cross multiply
    713,427x = 978,286 × 978,286
  4. Step 4: Simplify right side
    713,427x = 957,043,497,796
  5. Step 5: Solve for x
    x = 957,043,497,796/713,427
  6. Step 6: Final answer
    x = 1,341,473.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.