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Finding the Third Proportional to 120,928 and 261,556

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Solution

The third proportional to 120,928 and 261,556 is: 565,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,928 : 261,556 = 261,556 : x
  2. Step 2: Convert to fraction form
    120,928/261,556 = 261,556/x
  3. Step 3: Cross multiply
    120,928x = 261,556 × 261,556
  4. Step 4: Simplify right side
    120,928x = 68,411,541,136
  5. Step 5: Solve for x
    x = 68,411,541,136/120,928
  6. Step 6: Final answer
    x = 565,721.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.