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Finding the Third Proportional to 120,654 and 264,940

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Solution

The third proportional to 120,654 and 264,940 is: 581,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,654 : 264,940 = 264,940 : x
  2. Step 2: Convert to fraction form
    120,654/264,940 = 264,940/x
  3. Step 3: Cross multiply
    120,654x = 264,940 × 264,940
  4. Step 4: Simplify right side
    120,654x = 70,193,203,600
  5. Step 5: Solve for x
    x = 70,193,203,600/120,654
  6. Step 6: Final answer
    x = 581,772.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.