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Finding the Third Proportional to 198,312 and 386,661

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Solution

The third proportional to 198,312 and 386,661 is: 753,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,312 : 386,661 = 386,661 : x
  2. Step 2: Convert to fraction form
    198,312/386,661 = 386,661/x
  3. Step 3: Cross multiply
    198,312x = 386,661 × 386,661
  4. Step 4: Simplify right side
    198,312x = 149,506,728,921
  5. Step 5: Solve for x
    x = 149,506,728,921/198,312
  6. Step 6: Final answer
    x = 753,896.53

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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.