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Finding the Third Proportional to 414,396.75 and 639,901.13

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Solution

The third proportional to 414,396.75 and 639,901.13 is: 988,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,396.75 : 639,901.13 = 639,901.13 : x
  2. Step 2: Convert to fraction form
    414,396.75/639,901.13 = 639,901.13/x
  3. Step 3: Cross multiply
    414,396.75x = 639,901.13 × 639,901.13
  4. Step 4: Simplify right side
    414,396.75x = 409,473,449,776.27
  5. Step 5: Solve for x
    x = 409,473,449,776.27/414,396.75
  6. Step 6: Final answer
    x = 988,119.36

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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.