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Finding the Third Proportional to 120,028 and 258,646

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Solution

The third proportional to 120,028 and 258,646 is: 557,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,028 : 258,646 = 258,646 : x
  2. Step 2: Convert to fraction form
    120,028/258,646 = 258,646/x
  3. Step 3: Cross multiply
    120,028x = 258,646 × 258,646
  4. Step 4: Simplify right side
    120,028x = 66,897,753,316
  5. Step 5: Solve for x
    x = 66,897,753,316/120,028
  6. Step 6: Final answer
    x = 557,351.23

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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.