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Finding the Third Proportional to 376,104.50 and 783,313

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Solution

The third proportional to 376,104.50 and 783,313 is: 1,631,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,104.50 : 783,313 = 783,313 : x
  2. Step 2: Convert to fraction form
    376,104.50/783,313 = 783,313/x
  3. Step 3: Cross multiply
    376,104.50x = 783,313 × 783,313
  4. Step 4: Simplify right side
    376,104.50x = 613,579,255,969
  5. Step 5: Solve for x
    x = 613,579,255,969/376,104.50
  6. Step 6: Final answer
    x = 1,631,406.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.