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Finding the Third Proportional to 100,416 and 198,312

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Solution

The third proportional to 100,416 and 198,312 is: 391,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416 : 198,312 = 198,312 : x
  2. Step 2: Convert to fraction form
    100,416/198,312 = 198,312/x
  3. Step 3: Cross multiply
    100,416x = 198,312 × 198,312
  4. Step 4: Simplify right side
    100,416x = 39,327,649,344
  5. Step 5: Solve for x
    x = 39,327,649,344/100,416
  6. Step 6: Final answer
    x = 391,647.24

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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.