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Finding the Third Proportional to 216,602 and 324,903

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Solution

The third proportional to 216,602 and 324,903 is: 487,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,602 : 324,903 = 324,903 : x
  2. Step 2: Convert to fraction form
    216,602/324,903 = 324,903/x
  3. Step 3: Cross multiply
    216,602x = 324,903 × 324,903
  4. Step 4: Simplify right side
    216,602x = 105,561,959,409
  5. Step 5: Solve for x
    x = 105,561,959,409/216,602
  6. Step 6: Final answer
    x = 487,354.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.