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Finding the Third Proportional to 65,421 and 133,608

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Solution

The third proportional to 65,421 and 133,608 is: 272,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421 : 133,608 = 133,608 : x
  2. Step 2: Convert to fraction form
    65,421/133,608 = 133,608/x
  3. Step 3: Cross multiply
    65,421x = 133,608 × 133,608
  4. Step 4: Simplify right side
    65,421x = 17,851,097,664
  5. Step 5: Solve for x
    x = 17,851,097,664/65,421
  6. Step 6: Final answer
    x = 272,864.95

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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.