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Finding the Third Proportional to 300,090 and 464,512

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Solution

The third proportional to 300,090 and 464,512 is: 719,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,090 : 464,512 = 464,512 : x
  2. Step 2: Convert to fraction form
    300,090/464,512 = 464,512/x
  3. Step 3: Cross multiply
    300,090x = 464,512 × 464,512
  4. Step 4: Simplify right side
    300,090x = 215,771,398,144
  5. Step 5: Solve for x
    x = 215,771,398,144/300,090
  6. Step 6: Final answer
    x = 719,022.29

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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.