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Finding the Third Proportional to 260,136 and 561,744

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Solution

The third proportional to 260,136 and 561,744 is: 1,213,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,136 : 561,744 = 561,744 : x
  2. Step 2: Convert to fraction form
    260,136/561,744 = 561,744/x
  3. Step 3: Cross multiply
    260,136x = 561,744 × 561,744
  4. Step 4: Simplify right side
    260,136x = 315,556,321,536
  5. Step 5: Solve for x
    x = 315,556,321,536/260,136
  6. Step 6: Final answer
    x = 1,213,043.64

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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.