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Finding the Third Proportional to 120,032 and 258,672

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Solution

The third proportional to 120,032 and 258,672 is: 557,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,032 : 258,672 = 258,672 : x
  2. Step 2: Convert to fraction form
    120,032/258,672 = 258,672/x
  3. Step 3: Cross multiply
    120,032x = 258,672 × 258,672
  4. Step 4: Simplify right side
    120,032x = 66,911,203,584
  5. Step 5: Solve for x
    x = 66,911,203,584/120,032
  6. Step 6: Final answer
    x = 557,444.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.