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Finding the Third Proportional to 115,911 and 268,353

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Solution

The third proportional to 115,911 and 268,353 is: 621,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,911 : 268,353 = 268,353 : x
  2. Step 2: Convert to fraction form
    115,911/268,353 = 268,353/x
  3. Step 3: Cross multiply
    115,911x = 268,353 × 268,353
  4. Step 4: Simplify right side
    115,911x = 72,013,332,609
  5. Step 5: Solve for x
    x = 72,013,332,609/115,911
  6. Step 6: Final answer
    x = 621,281.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.