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Finding the Third Proportional to 713,425 and 978,283

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Solution

The third proportional to 713,425 and 978,283 is: 1,341,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,425 : 978,283 = 978,283 : x
  2. Step 2: Convert to fraction form
    713,425/978,283 = 978,283/x
  3. Step 3: Cross multiply
    713,425x = 978,283 × 978,283
  4. Step 4: Simplify right side
    713,425x = 957,037,628,089
  5. Step 5: Solve for x
    x = 957,037,628,089/713,425
  6. Step 6: Final answer
    x = 1,341,469.15

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Why These Related Problems?

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