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Finding the Third Proportional to 120,710 and 258,952

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Solution

The third proportional to 120,710 and 258,952 is: 555,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,710 : 258,952 = 258,952 : x
  2. Step 2: Convert to fraction form
    120,710/258,952 = 258,952/x
  3. Step 3: Cross multiply
    120,710x = 258,952 × 258,952
  4. Step 4: Simplify right side
    120,710x = 67,056,138,304
  5. Step 5: Solve for x
    x = 67,056,138,304/120,710
  6. Step 6: Final answer
    x = 555,514.36

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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.