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Finding the Third Proportional to 133,076 and 206,447

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Solution

The third proportional to 133,076 and 206,447 is: 320,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076 : 206,447 = 206,447 : x
  2. Step 2: Convert to fraction form
    133,076/206,447 = 206,447/x
  3. Step 3: Cross multiply
    133,076x = 206,447 × 206,447
  4. Step 4: Simplify right side
    133,076x = 42,620,363,809
  5. Step 5: Solve for x
    x = 42,620,363,809/133,076
  6. Step 6: Final answer
    x = 320,270.85

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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.