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Finding the Third Proportional to 333,910.50 and 787,431.75

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Solution

The third proportional to 333,910.50 and 787,431.75 is: 1,856,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,910.50 : 787,431.75 = 787,431.75 : x
  2. Step 2: Convert to fraction form
    333,910.50/787,431.75 = 787,431.75/x
  3. Step 3: Cross multiply
    333,910.50x = 787,431.75 × 787,431.75
  4. Step 4: Simplify right side
    333,910.50x = 620,048,760,908.06
  5. Step 5: Solve for x
    x = 620,048,760,908.06/333,910.50
  6. Step 6: Final answer
    x = 1,856,931.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.