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Finding the Third Proportional to 713,478 and 978,361

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Solution

The third proportional to 713,478 and 978,361 is: 1,341,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,478 : 978,361 = 978,361 : x
  2. Step 2: Convert to fraction form
    713,478/978,361 = 978,361/x
  3. Step 3: Cross multiply
    713,478x = 978,361 × 978,361
  4. Step 4: Simplify right side
    713,478x = 957,190,246,321
  5. Step 5: Solve for x
    x = 957,190,246,321/713,478
  6. Step 6: Final answer
    x = 1,341,583.41

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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.