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Finding the Third Proportional to 398,644.82 and 615,593.51

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Solution

The third proportional to 398,644.82 and 615,593.51 is: 950,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644.82 : 615,593.51 = 615,593.51 : x
  2. Step 2: Convert to fraction form
    398,644.82/615,593.51 = 615,593.51/x
  3. Step 3: Cross multiply
    398,644.82x = 615,593.51 × 615,593.51
  4. Step 4: Simplify right side
    398,644.82x = 378,955,374,074.87
  5. Step 5: Solve for x
    x = 378,955,374,074.87/398,644.82
  6. Step 6: Final answer
    x = 950,609.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.