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Finding the Third Proportional to 198,489 and 468,178.50

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Solution

The third proportional to 198,489 and 468,178.50 is: 1,104,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,489 : 468,178.50 = 468,178.50 : x
  2. Step 2: Convert to fraction form
    198,489/468,178.50 = 468,178.50/x
  3. Step 3: Cross multiply
    198,489x = 468,178.50 × 468,178.50
  4. Step 4: Simplify right side
    198,489x = 219,191,107,862.25
  5. Step 5: Solve for x
    x = 219,191,107,862.25/198,489
  6. Step 6: Final answer
    x = 1,104,298.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.