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Finding the Third Proportional to 321,118 and 500,065

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Solution

The third proportional to 321,118 and 500,065 is: 778,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,118 : 500,065 = 500,065 : x
  2. Step 2: Convert to fraction form
    321,118/500,065 = 500,065/x
  3. Step 3: Cross multiply
    321,118x = 500,065 × 500,065
  4. Step 4: Simplify right side
    321,118x = 250,065,004,225
  5. Step 5: Solve for x
    x = 250,065,004,225/321,118
  6. Step 6: Final answer
    x = 778,732.44

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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.