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Finding the Third Proportional to 449,653 and 978,623

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Solution

The third proportional to 449,653 and 978,623 is: 2,129,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,653 : 978,623 = 978,623 : x
  2. Step 2: Convert to fraction form
    449,653/978,623 = 978,623/x
  3. Step 3: Cross multiply
    449,653x = 978,623 × 978,623
  4. Step 4: Simplify right side
    449,653x = 957,702,976,129
  5. Step 5: Solve for x
    x = 957,702,976,129/449,653
  6. Step 6: Final answer
    x = 2,129,871.20

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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.