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Finding the Third Proportional to 65,422 and 145,646

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Solution

The third proportional to 65,422 and 145,646 is: 324,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,422 : 145,646 = 145,646 : x
  2. Step 2: Convert to fraction form
    65,422/145,646 = 145,646/x
  3. Step 3: Cross multiply
    65,422x = 145,646 × 145,646
  4. Step 4: Simplify right side
    65,422x = 21,212,757,316
  5. Step 5: Solve for x
    x = 21,212,757,316/65,422
  6. Step 6: Final answer
    x = 324,245.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.