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Finding the Third Proportional to 431,736 and 643,164

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Solution

The third proportional to 431,736 and 643,164 is: 958,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,736 : 643,164 = 643,164 : x
  2. Step 2: Convert to fraction form
    431,736/643,164 = 643,164/x
  3. Step 3: Cross multiply
    431,736x = 643,164 × 643,164
  4. Step 4: Simplify right side
    431,736x = 413,659,930,896
  5. Step 5: Solve for x
    x = 413,659,930,896/431,736
  6. Step 6: Final answer
    x = 958,131.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.