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Finding the Third Proportional to 608,867 and 978,347

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Solution

The third proportional to 608,867 and 978,347 is: 1,572,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,867 : 978,347 = 978,347 : x
  2. Step 2: Convert to fraction form
    608,867/978,347 = 978,347/x
  3. Step 3: Cross multiply
    608,867x = 978,347 × 978,347
  4. Step 4: Simplify right side
    608,867x = 957,162,852,409
  5. Step 5: Solve for x
    x = 957,162,852,409/608,867
  6. Step 6: Final answer
    x = 1,572,039.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.