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Finding the Third Proportional to 217,155 and 291,825

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Solution

The third proportional to 217,155 and 291,825 is: 392,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,155 : 291,825 = 291,825 : x
  2. Step 2: Convert to fraction form
    217,155/291,825 = 291,825/x
  3. Step 3: Cross multiply
    217,155x = 291,825 × 291,825
  4. Step 4: Simplify right side
    217,155x = 85,161,830,625
  5. Step 5: Solve for x
    x = 85,161,830,625/217,155
  6. Step 6: Final answer
    x = 392,170.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.