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Finding the Third Proportional to 65,509 and 133,762

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Solution

The third proportional to 65,509 and 133,762 is: 273,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509 : 133,762 = 133,762 : x
  2. Step 2: Convert to fraction form
    65,509/133,762 = 133,762/x
  3. Step 3: Cross multiply
    65,509x = 133,762 × 133,762
  4. Step 4: Simplify right side
    65,509x = 17,892,272,644
  5. Step 5: Solve for x
    x = 17,892,272,644/65,509
  6. Step 6: Final answer
    x = 273,126.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.