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Finding the Third Proportional to 398,755.31 and 875,012.44

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Solution

The third proportional to 398,755.31 and 875,012.44 is: 1,920,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,755.31 : 875,012.44 = 875,012.44 : x
  2. Step 2: Convert to fraction form
    398,755.31/875,012.44 = 875,012.44/x
  3. Step 3: Cross multiply
    398,755.31x = 875,012.44 × 875,012.44
  4. Step 4: Simplify right side
    398,755.31x = 765,646,765,779.69
  5. Step 5: Solve for x
    x = 765,646,765,779.69/398,755.31
  6. Step 6: Final answer
    x = 1,920,091.70

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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.