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Finding the Third Proportional to 414,398 and 639,903

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Solution

The third proportional to 414,398 and 639,903 is: 988,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,398 : 639,903 = 639,903 : x
  2. Step 2: Convert to fraction form
    414,398/639,903 = 639,903/x
  3. Step 3: Cross multiply
    414,398x = 639,903 × 639,903
  4. Step 4: Simplify right side
    414,398x = 409,475,849,409
  5. Step 5: Solve for x
    x = 409,475,849,409/414,398
  6. Step 6: Final answer
    x = 988,122.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.