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Finding the Third Proportional to 414,356 and 639,846

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Solution

The third proportional to 414,356 and 639,846 is: 988,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,356 : 639,846 = 639,846 : x
  2. Step 2: Convert to fraction form
    414,356/639,846 = 639,846/x
  3. Step 3: Cross multiply
    414,356x = 639,846 × 639,846
  4. Step 4: Simplify right side
    414,356x = 409,402,903,716
  5. Step 5: Solve for x
    x = 409,402,903,716/414,356
  6. Step 6: Final answer
    x = 988,046.28

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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.