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Finding the Third Proportional to 120,278 and 258,291

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Solution

The third proportional to 120,278 and 258,291 is: 554,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,278 : 258,291 = 258,291 : x
  2. Step 2: Convert to fraction form
    120,278/258,291 = 258,291/x
  3. Step 3: Cross multiply
    120,278x = 258,291 × 258,291
  4. Step 4: Simplify right side
    120,278x = 66,714,240,681
  5. Step 5: Solve for x
    x = 66,714,240,681/120,278
  6. Step 6: Final answer
    x = 554,667.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.