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Finding the Third Proportional to 298,309.50 and 433,377

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Solution

The third proportional to 298,309.50 and 433,377 is: 629,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,309.50 : 433,377 = 433,377 : x
  2. Step 2: Convert to fraction form
    298,309.50/433,377 = 433,377/x
  3. Step 3: Cross multiply
    298,309.50x = 433,377 × 433,377
  4. Step 4: Simplify right side
    298,309.50x = 187,815,624,129
  5. Step 5: Solve for x
    x = 187,815,624,129/298,309.50
  6. Step 6: Final answer
    x = 629,599.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.