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Finding the Third Proportional to 198,090 and 306,859.50

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Solution

The third proportional to 198,090 and 306,859.50 is: 475,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,090 : 306,859.50 = 306,859.50 : x
  2. Step 2: Convert to fraction form
    198,090/306,859.50 = 306,859.50/x
  3. Step 3: Cross multiply
    198,090x = 306,859.50 × 306,859.50
  4. Step 4: Simplify right side
    198,090x = 94,162,752,740.25
  5. Step 5: Solve for x
    x = 94,162,752,740.25/198,090
  6. Step 6: Final answer
    x = 475,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.