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Finding the Third Proportional to 200,043.50 and 436,035

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Solution

The third proportional to 200,043.50 and 436,035 is: 950,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043.50 : 436,035 = 436,035 : x
  2. Step 2: Convert to fraction form
    200,043.50/436,035 = 436,035/x
  3. Step 3: Cross multiply
    200,043.50x = 436,035 × 436,035
  4. Step 4: Simplify right side
    200,043.50x = 190,126,521,225
  5. Step 5: Solve for x
    x = 190,126,521,225/200,043.50
  6. Step 6: Final answer
    x = 950,425.89

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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.