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Finding the Third Proportional to 450,669 and 978,368

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Solution

The third proportional to 450,669 and 978,368 is: 2,123,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,669 : 978,368 = 978,368 : x
  2. Step 2: Convert to fraction form
    450,669/978,368 = 978,368/x
  3. Step 3: Cross multiply
    450,669x = 978,368 × 978,368
  4. Step 4: Simplify right side
    450,669x = 957,203,943,424
  5. Step 5: Solve for x
    x = 957,203,943,424/450,669
  6. Step 6: Final answer
    x = 2,123,962.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.