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Finding the Third Proportional to 231,381 and 481,230

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Solution

The third proportional to 231,381 and 481,230 is: 1,000,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,381 : 481,230 = 481,230 : x
  2. Step 2: Convert to fraction form
    231,381/481,230 = 481,230/x
  3. Step 3: Cross multiply
    231,381x = 481,230 × 481,230
  4. Step 4: Simplify right side
    231,381x = 231,582,312,900
  5. Step 5: Solve for x
    x = 231,582,312,900/231,381
  6. Step 6: Final answer
    x = 1,000,870.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.