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Finding the Third Proportional to 411,759 and 615,213.75

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Solution

The third proportional to 411,759 and 615,213.75 is: 919,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,759 : 615,213.75 = 615,213.75 : x
  2. Step 2: Convert to fraction form
    411,759/615,213.75 = 615,213.75/x
  3. Step 3: Cross multiply
    411,759x = 615,213.75 × 615,213.75
  4. Step 4: Simplify right side
    411,759x = 378,487,958,189.06
  5. Step 5: Solve for x
    x = 378,487,958,189.06/411,759
  6. Step 6: Final answer
    x = 919,197.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.