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Finding the Third Proportional to 306,244.50 and 447,270.75

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Solution

The third proportional to 306,244.50 and 447,270.75 is: 653,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,244.50 : 447,270.75 = 447,270.75 : x
  2. Step 2: Convert to fraction form
    306,244.50/447,270.75 = 447,270.75/x
  3. Step 3: Cross multiply
    306,244.50x = 447,270.75 × 447,270.75
  4. Step 4: Simplify right side
    306,244.50x = 200,051,123,805.56
  5. Step 5: Solve for x
    x = 200,051,123,805.56/306,244.50
  6. Step 6: Final answer
    x = 653,239.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.