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Finding the Third Proportional to 199,066.50 and 433,125

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Solution

The third proportional to 199,066.50 and 433,125 is: 942,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,066.50 : 433,125 = 433,125 : x
  2. Step 2: Convert to fraction form
    199,066.50/433,125 = 433,125/x
  3. Step 3: Cross multiply
    199,066.50x = 433,125 × 433,125
  4. Step 4: Simplify right side
    199,066.50x = 187,597,265,625
  5. Step 5: Solve for x
    x = 187,597,265,625/199,066.50
  6. Step 6: Final answer
    x = 942,384.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.