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Finding the Third Proportional to 65,421 and 145,644

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Solution

The third proportional to 65,421 and 145,644 is: 324,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421 : 145,644 = 145,644 : x
  2. Step 2: Convert to fraction form
    65,421/145,644 = 145,644/x
  3. Step 3: Cross multiply
    65,421x = 145,644 × 145,644
  4. Step 4: Simplify right side
    65,421x = 21,212,174,736
  5. Step 5: Solve for x
    x = 21,212,174,736/65,421
  6. Step 6: Final answer
    x = 324,241.07

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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.