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Finding the Third Proportional to 321,138 and 500,089

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Solution

The third proportional to 321,138 and 500,089 is: 778,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,138 : 500,089 = 500,089 : x
  2. Step 2: Convert to fraction form
    321,138/500,089 = 500,089/x
  3. Step 3: Cross multiply
    321,138x = 500,089 × 500,089
  4. Step 4: Simplify right side
    321,138x = 250,089,007,921
  5. Step 5: Solve for x
    x = 250,089,007,921/321,138
  6. Step 6: Final answer
    x = 778,758.69

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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.