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Finding the Third Proportional to 120,228 and 258,560

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Solution

The third proportional to 120,228 and 258,560 is: 556,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,228 : 258,560 = 258,560 : x
  2. Step 2: Convert to fraction form
    120,228/258,560 = 258,560/x
  3. Step 3: Cross multiply
    120,228x = 258,560 × 258,560
  4. Step 4: Simplify right side
    120,228x = 66,853,273,600
  5. Step 5: Solve for x
    x = 66,853,273,600/120,228
  6. Step 6: Final answer
    x = 556,054.11

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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.