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Finding the Third Proportional to 133,911 and 207,518

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Solution

The third proportional to 133,911 and 207,518 is: 321,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 207,518 = 207,518 : x
  2. Step 2: Convert to fraction form
    133,911/207,518 = 207,518/x
  3. Step 3: Cross multiply
    133,911x = 207,518 × 207,518
  4. Step 4: Simplify right side
    133,911x = 43,063,720,324
  5. Step 5: Solve for x
    x = 43,063,720,324/133,911
  6. Step 6: Final answer
    x = 321,584.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.