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Finding the Third Proportional to 102,985 and 225,653

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Solution

The third proportional to 102,985 and 225,653 is: 494,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,985 : 225,653 = 225,653 : x
  2. Step 2: Convert to fraction form
    102,985/225,653 = 225,653/x
  3. Step 3: Cross multiply
    102,985x = 225,653 × 225,653
  4. Step 4: Simplify right side
    102,985x = 50,919,276,409
  5. Step 5: Solve for x
    x = 50,919,276,409/102,985
  6. Step 6: Final answer
    x = 494,433.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.