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Finding the Third Proportional to 133,916 and 207,356

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Solution

The third proportional to 133,916 and 207,356 is: 321,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,916 : 207,356 = 207,356 : x
  2. Step 2: Convert to fraction form
    133,916/207,356 = 207,356/x
  3. Step 3: Cross multiply
    133,916x = 207,356 × 207,356
  4. Step 4: Simplify right side
    133,916x = 42,996,510,736
  5. Step 5: Solve for x
    x = 42,996,510,736/133,916
  6. Step 6: Final answer
    x = 321,070.75

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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.