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Finding the Third Proportional to 398,828.50 and 875,149

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Solution

The third proportional to 398,828.50 and 875,149 is: 1,920,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,828.50 : 875,149 = 875,149 : x
  2. Step 2: Convert to fraction form
    398,828.50/875,149 = 875,149/x
  3. Step 3: Cross multiply
    398,828.50x = 875,149 × 875,149
  4. Step 4: Simplify right side
    398,828.50x = 765,885,772,201
  5. Step 5: Solve for x
    x = 765,885,772,201/398,828.50
  6. Step 6: Final answer
    x = 1,920,338.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.