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Finding the Third Proportional to 198,376.31 and 426,579.75

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Solution

The third proportional to 198,376.31 and 426,579.75 is: 917,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,376.31 : 426,579.75 = 426,579.75 : x
  2. Step 2: Convert to fraction form
    198,376.31/426,579.75 = 426,579.75/x
  3. Step 3: Cross multiply
    198,376.31x = 426,579.75 × 426,579.75
  4. Step 4: Simplify right side
    198,376.31x = 181,970,283,110.06
  5. Step 5: Solve for x
    x = 181,970,283,110.06/198,376.31
  6. Step 6: Final answer
    x = 917,298.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.