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Finding the Third Proportional to 198,417.94 and 283,628.25

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Solution

The third proportional to 198,417.94 and 283,628.25 is: 405,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,417.94 : 283,628.25 = 283,628.25 : x
  2. Step 2: Convert to fraction form
    198,417.94/283,628.25 = 283,628.25/x
  3. Step 3: Cross multiply
    198,417.94x = 283,628.25 × 283,628.25
  4. Step 4: Simplify right side
    198,417.94x = 80,444,984,198.06
  5. Step 5: Solve for x
    x = 80,444,984,198.06/198,417.94
  6. Step 6: Final answer
    x = 405,432.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.