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Finding the Third Proportional to 198,430 and 298,090

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Solution

The third proportional to 198,430 and 298,090 is: 447,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,430 : 298,090 = 298,090 : x
  2. Step 2: Convert to fraction form
    198,430/298,090 = 298,090/x
  3. Step 3: Cross multiply
    198,430x = 298,090 × 298,090
  4. Step 4: Simplify right side
    198,430x = 88,857,648,100
  5. Step 5: Solve for x
    x = 88,857,648,100/198,430
  6. Step 6: Final answer
    x = 447,803.50

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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.