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Finding the Third Proportional to 133,070 and 206,438

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Solution

The third proportional to 133,070 and 206,438 is: 320,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 206,438 = 206,438 : x
  2. Step 2: Convert to fraction form
    133,070/206,438 = 206,438/x
  3. Step 3: Cross multiply
    133,070x = 206,438 × 206,438
  4. Step 4: Simplify right side
    133,070x = 42,616,647,844
  5. Step 5: Solve for x
    x = 42,616,647,844/133,070
  6. Step 6: Final answer
    x = 320,257.37

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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.