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Finding the Third Proportional to 199,320 and 299,556

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Solution

The third proportional to 199,320 and 299,556 is: 450,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,320 : 299,556 = 299,556 : x
  2. Step 2: Convert to fraction form
    199,320/299,556 = 299,556/x
  3. Step 3: Cross multiply
    199,320x = 299,556 × 299,556
  4. Step 4: Simplify right side
    199,320x = 89,733,797,136
  5. Step 5: Solve for x
    x = 89,733,797,136/199,320
  6. Step 6: Final answer
    x = 450,199.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.