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Finding the Third Proportional to 321,716 and 500,958

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Solution

The third proportional to 321,716 and 500,958 is: 780,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,716 : 500,958 = 500,958 : x
  2. Step 2: Convert to fraction form
    321,716/500,958 = 500,958/x
  3. Step 3: Cross multiply
    321,716x = 500,958 × 500,958
  4. Step 4: Simplify right side
    321,716x = 250,958,917,764
  5. Step 5: Solve for x
    x = 250,958,917,764/321,716
  6. Step 6: Final answer
    x = 780,063.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.