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Finding the Third Proportional to 122,911 and 268,070

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Solution

The third proportional to 122,911 and 268,070 is: 584,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,911 : 268,070 = 268,070 : x
  2. Step 2: Convert to fraction form
    122,911/268,070 = 268,070/x
  3. Step 3: Cross multiply
    122,911x = 268,070 × 268,070
  4. Step 4: Simplify right side
    122,911x = 71,861,524,900
  5. Step 5: Solve for x
    x = 71,861,524,900/122,911
  6. Step 6: Final answer
    x = 584,663.09

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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.