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Finding the Third Proportional to 133,865 and 207,276

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Solution

The third proportional to 133,865 and 207,276 is: 320,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,865 : 207,276 = 207,276 : x
  2. Step 2: Convert to fraction form
    133,865/207,276 = 207,276/x
  3. Step 3: Cross multiply
    133,865x = 207,276 × 207,276
  4. Step 4: Simplify right side
    133,865x = 42,963,340,176
  5. Step 5: Solve for x
    x = 42,963,340,176/133,865
  6. Step 6: Final answer
    x = 320,945.28

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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.