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Finding the Third Proportional to 301,864 and 656,144

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Solution

The third proportional to 301,864 and 656,144 is: 1,426,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,864 : 656,144 = 656,144 : x
  2. Step 2: Convert to fraction form
    301,864/656,144 = 656,144/x
  3. Step 3: Cross multiply
    301,864x = 656,144 × 656,144
  4. Step 4: Simplify right side
    301,864x = 430,524,948,736
  5. Step 5: Solve for x
    x = 430,524,948,736/301,864
  6. Step 6: Final answer
    x = 1,426,221.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.