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Finding the Third Proportional to 154,681 and 327,665

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Solution

The third proportional to 154,681 and 327,665 is: 694,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,681 : 327,665 = 327,665 : x
  2. Step 2: Convert to fraction form
    154,681/327,665 = 327,665/x
  3. Step 3: Cross multiply
    154,681x = 327,665 × 327,665
  4. Step 4: Simplify right side
    154,681x = 107,364,352,225
  5. Step 5: Solve for x
    x = 107,364,352,225/154,681
  6. Step 6: Final answer
    x = 694,101.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.