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Finding the Third Proportional to 120,982 and 277,686

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Solution

The third proportional to 120,982 and 277,686 is: 637,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,982 : 277,686 = 277,686 : x
  2. Step 2: Convert to fraction form
    120,982/277,686 = 277,686/x
  3. Step 3: Cross multiply
    120,982x = 277,686 × 277,686
  4. Step 4: Simplify right side
    120,982x = 77,109,514,596
  5. Step 5: Solve for x
    x = 77,109,514,596/120,982
  6. Step 6: Final answer
    x = 637,363.53

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.