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Finding the Third Proportional to 53,217 and 115,911

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Solution

The third proportional to 53,217 and 115,911 is: 252,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217 : 115,911 = 115,911 : x
  2. Step 2: Convert to fraction form
    53,217/115,911 = 115,911/x
  3. Step 3: Cross multiply
    53,217x = 115,911 × 115,911
  4. Step 4: Simplify right side
    53,217x = 13,435,359,921
  5. Step 5: Solve for x
    x = 13,435,359,921/53,217
  6. Step 6: Final answer
    x = 252,463.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.