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Finding the Third Proportional to 198,740 and 295,407

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Solution

The third proportional to 198,740 and 295,407 is: 439,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,740 : 295,407 = 295,407 : x
  2. Step 2: Convert to fraction form
    198,740/295,407 = 295,407/x
  3. Step 3: Cross multiply
    198,740x = 295,407 × 295,407
  4. Step 4: Simplify right side
    198,740x = 87,265,295,649
  5. Step 5: Solve for x
    x = 87,265,295,649/198,740
  6. Step 6: Final answer
    x = 439,092.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.