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Finding the Third Proportional to 521,911.50 and 799,715.25

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Solution

The third proportional to 521,911.50 and 799,715.25 is: 1,225,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,911.50 : 799,715.25 = 799,715.25 : x
  2. Step 2: Convert to fraction form
    521,911.50/799,715.25 = 799,715.25/x
  3. Step 3: Cross multiply
    521,911.50x = 799,715.25 × 799,715.25
  4. Step 4: Simplify right side
    521,911.50x = 639,544,481,082.56
  5. Step 5: Solve for x
    x = 639,544,481,082.56/521,911.50
  6. Step 6: Final answer
    x = 1,225,388.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.