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Finding the Third Proportional to 120,027 and 261,654

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Solution

The third proportional to 120,027 and 261,654 is: 570,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,027 : 261,654 = 261,654 : x
  2. Step 2: Convert to fraction form
    120,027/261,654 = 261,654/x
  3. Step 3: Cross multiply
    120,027x = 261,654 × 261,654
  4. Step 4: Simplify right side
    120,027x = 68,462,815,716
  5. Step 5: Solve for x
    x = 68,462,815,716/120,027
  6. Step 6: Final answer
    x = 570,395.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.