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Finding the Third Proportional to 210,462 and 321,957

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Solution

The third proportional to 210,462 and 321,957 is: 492,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462 : 321,957 = 321,957 : x
  2. Step 2: Convert to fraction form
    210,462/321,957 = 321,957/x
  3. Step 3: Cross multiply
    210,462x = 321,957 × 321,957
  4. Step 4: Simplify right side
    210,462x = 103,656,309,849
  5. Step 5: Solve for x
    x = 103,656,309,849/210,462
  6. Step 6: Final answer
    x = 492,517.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.