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Finding the Third Proportional to 449,569 and 978,463

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Solution

The third proportional to 449,569 and 978,463 is: 2,129,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,569 : 978,463 = 978,463 : x
  2. Step 2: Convert to fraction form
    449,569/978,463 = 978,463/x
  3. Step 3: Cross multiply
    449,569x = 978,463 × 978,463
  4. Step 4: Simplify right side
    449,569x = 957,389,842,369
  5. Step 5: Solve for x
    x = 957,389,842,369/449,569
  6. Step 6: Final answer
    x = 2,129,572.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.