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Finding the Third Proportional to 120,490 and 261,721.75

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Solution

The third proportional to 120,490 and 261,721.75 is: 568,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,490 : 261,721.75 = 261,721.75 : x
  2. Step 2: Convert to fraction form
    120,490/261,721.75 = 261,721.75/x
  3. Step 3: Cross multiply
    120,490x = 261,721.75 × 261,721.75
  4. Step 4: Simplify right side
    120,490x = 68,498,274,423.06
  5. Step 5: Solve for x
    x = 68,498,274,423.06/120,490
  6. Step 6: Final answer
    x = 568,497.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.