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Finding the Third Proportional to 198,682.88 and 420,943.50

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Solution

The third proportional to 198,682.88 and 420,943.50 is: 891,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,682.88 : 420,943.50 = 420,943.50 : x
  2. Step 2: Convert to fraction form
    198,682.88/420,943.50 = 420,943.50/x
  3. Step 3: Cross multiply
    198,682.88x = 420,943.50 × 420,943.50
  4. Step 4: Simplify right side
    198,682.88x = 177,193,430,192.25
  5. Step 5: Solve for x
    x = 177,193,430,192.25/198,682.88
  6. Step 6: Final answer
    x = 891,840.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.