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Finding the Third Proportional to 198,118.50 and 386,310

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Solution

The third proportional to 198,118.50 and 386,310 is: 753,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,118.50 : 386,310 = 386,310 : x
  2. Step 2: Convert to fraction form
    198,118.50/386,310 = 386,310/x
  3. Step 3: Cross multiply
    198,118.50x = 386,310 × 386,310
  4. Step 4: Simplify right side
    198,118.50x = 149,235,416,100
  5. Step 5: Solve for x
    x = 149,235,416,100/198,118.50
  6. Step 6: Final answer
    x = 753,263.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.