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Finding the Third Proportional to 217,431 and 325,134

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Solution

The third proportional to 217,431 and 325,134 is: 486,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,431 : 325,134 = 325,134 : x
  2. Step 2: Convert to fraction form
    217,431/325,134 = 325,134/x
  3. Step 3: Cross multiply
    217,431x = 325,134 × 325,134
  4. Step 4: Simplify right side
    217,431x = 105,712,117,956
  5. Step 5: Solve for x
    x = 105,712,117,956/217,431
  6. Step 6: Final answer
    x = 486,186.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.