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Finding the Third Proportional to 267,019 and 413,313

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Solution

The third proportional to 267,019 and 413,313 is: 639,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,019 : 413,313 = 413,313 : x
  2. Step 2: Convert to fraction form
    267,019/413,313 = 413,313/x
  3. Step 3: Cross multiply
    267,019x = 413,313 × 413,313
  4. Step 4: Simplify right side
    267,019x = 170,827,635,969
  5. Step 5: Solve for x
    x = 170,827,635,969/267,019
  6. Step 6: Final answer
    x = 639,758.35

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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.