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Finding the Third Proportional to 151,421 and 327,921

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Solution

The third proportional to 151,421 and 327,921 is: 710,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,421 : 327,921 = 327,921 : x
  2. Step 2: Convert to fraction form
    151,421/327,921 = 327,921/x
  3. Step 3: Cross multiply
    151,421x = 327,921 × 327,921
  4. Step 4: Simplify right side
    151,421x = 107,532,182,241
  5. Step 5: Solve for x
    x = 107,532,182,241/151,421
  6. Step 6: Final answer
    x = 710,153.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.