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Finding the Third Proportional to 321,121 and 500,061

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Solution

The third proportional to 321,121 and 500,061 is: 778,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,121 : 500,061 = 500,061 : x
  2. Step 2: Convert to fraction form
    321,121/500,061 = 500,061/x
  3. Step 3: Cross multiply
    321,121x = 500,061 × 500,061
  4. Step 4: Simplify right side
    321,121x = 250,061,003,721
  5. Step 5: Solve for x
    x = 250,061,003,721/321,121
  6. Step 6: Final answer
    x = 778,712.71

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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.