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Finding the Third Proportional to 198,720 and 295,380

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Solution

The third proportional to 198,720 and 295,380 is: 439,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720 : 295,380 = 295,380 : x
  2. Step 2: Convert to fraction form
    198,720/295,380 = 295,380/x
  3. Step 3: Cross multiply
    198,720x = 295,380 × 295,380
  4. Step 4: Simplify right side
    198,720x = 87,249,344,400
  5. Step 5: Solve for x
    x = 87,249,344,400/198,720
  6. Step 6: Final answer
    x = 439,056.68

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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.