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Finding the Third Proportional to 389,448 and 818,201.25

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Solution

The third proportional to 389,448 and 818,201.25 is: 1,718,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,448 : 818,201.25 = 818,201.25 : x
  2. Step 2: Convert to fraction form
    389,448/818,201.25 = 818,201.25/x
  3. Step 3: Cross multiply
    389,448x = 818,201.25 × 818,201.25
  4. Step 4: Simplify right side
    389,448x = 669,453,285,501.56
  5. Step 5: Solve for x
    x = 669,453,285,501.56/389,448
  6. Step 6: Final answer
    x = 1,718,979.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.