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Finding the Third Proportional to 198,132 and 386,341.50

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Solution

The third proportional to 198,132 and 386,341.50 is: 753,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,132 : 386,341.50 = 386,341.50 : x
  2. Step 2: Convert to fraction form
    198,132/386,341.50 = 386,341.50/x
  3. Step 3: Cross multiply
    198,132x = 386,341.50 × 386,341.50
  4. Step 4: Simplify right side
    198,132x = 149,259,754,622.25
  5. Step 5: Solve for x
    x = 149,259,754,622.25/198,132
  6. Step 6: Final answer
    x = 753,334.92

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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.