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Finding the Third Proportional to 65,668 and 145,376

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Solution

The third proportional to 65,668 and 145,376 is: 321,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,668 : 145,376 = 145,376 : x
  2. Step 2: Convert to fraction form
    65,668/145,376 = 145,376/x
  3. Step 3: Cross multiply
    65,668x = 145,376 × 145,376
  4. Step 4: Simplify right side
    65,668x = 21,134,181,376
  5. Step 5: Solve for x
    x = 21,134,181,376/65,668
  6. Step 6: Final answer
    x = 321,833.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.