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Finding the Third Proportional to 198,470.25 and 405,688.50

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Solution

The third proportional to 198,470.25 and 405,688.50 is: 829,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470.25 : 405,688.50 = 405,688.50 : x
  2. Step 2: Convert to fraction form
    198,470.25/405,688.50 = 405,688.50/x
  3. Step 3: Cross multiply
    198,470.25x = 405,688.50 × 405,688.50
  4. Step 4: Simplify right side
    198,470.25x = 164,583,159,032.25
  5. Step 5: Solve for x
    x = 164,583,159,032.25/198,470.25
  6. Step 6: Final answer
    x = 829,258.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.