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Finding the Third Proportional to 231,120 and 354,753

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Solution

The third proportional to 231,120 and 354,753 is: 544,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,120 : 354,753 = 354,753 : x
  2. Step 2: Convert to fraction form
    231,120/354,753 = 354,753/x
  3. Step 3: Cross multiply
    231,120x = 354,753 × 354,753
  4. Step 4: Simplify right side
    231,120x = 125,849,691,009
  5. Step 5: Solve for x
    x = 125,849,691,009/231,120
  6. Step 6: Final answer
    x = 544,520.99

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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.