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Finding the Third Proportional to 299,421 and 464,505.75

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Solution

The third proportional to 299,421 and 464,505.75 is: 720,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,421 : 464,505.75 = 464,505.75 : x
  2. Step 2: Convert to fraction form
    299,421/464,505.75 = 464,505.75/x
  3. Step 3: Cross multiply
    299,421x = 464,505.75 × 464,505.75
  4. Step 4: Simplify right side
    299,421x = 215,765,591,783.06
  5. Step 5: Solve for x
    x = 215,765,591,783.06/299,421
  6. Step 6: Final answer
    x = 720,609.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.