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Finding the Third Proportional to 129,230 and 274,094

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Solution

The third proportional to 129,230 and 274,094 is: 581,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,230 : 274,094 = 274,094 : x
  2. Step 2: Convert to fraction form
    129,230/274,094 = 274,094/x
  3. Step 3: Cross multiply
    129,230x = 274,094 × 274,094
  4. Step 4: Simplify right side
    129,230x = 75,127,520,836
  5. Step 5: Solve for x
    x = 75,127,520,836/129,230
  6. Step 6: Final answer
    x = 581,347.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.