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Finding the Third Proportional to 228,637.50 and 321,687.75

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Solution

The third proportional to 228,637.50 and 321,687.75 is: 452,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,637.50 : 321,687.75 = 321,687.75 : x
  2. Step 2: Convert to fraction form
    228,637.50/321,687.75 = 321,687.75/x
  3. Step 3: Cross multiply
    228,637.50x = 321,687.75 × 321,687.75
  4. Step 4: Simplify right side
    228,637.50x = 103,483,008,500.06
  5. Step 5: Solve for x
    x = 103,483,008,500.06/228,637.50
  6. Step 6: Final answer
    x = 452,607.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.