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Finding the Third Proportional to 100,556 and 198,574

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Solution

The third proportional to 100,556 and 198,574 is: 392,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,556 : 198,574 = 198,574 : x
  2. Step 2: Convert to fraction form
    100,556/198,574 = 198,574/x
  3. Step 3: Cross multiply
    100,556x = 198,574 × 198,574
  4. Step 4: Simplify right side
    100,556x = 39,431,633,476
  5. Step 5: Solve for x
    x = 39,431,633,476/100,556
  6. Step 6: Final answer
    x = 392,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.