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Finding the Third Proportional to 147,423 and 220,903

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Solution

The third proportional to 147,423 and 220,903 is: 331,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,423 : 220,903 = 220,903 : x
  2. Step 2: Convert to fraction form
    147,423/220,903 = 220,903/x
  3. Step 3: Cross multiply
    147,423x = 220,903 × 220,903
  4. Step 4: Simplify right side
    147,423x = 48,798,135,409
  5. Step 5: Solve for x
    x = 48,798,135,409/147,423
  6. Step 6: Final answer
    x = 331,007.61

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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.