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Finding the Third Proportional to 65,412 and 145,628

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Solution

The third proportional to 65,412 and 145,628 is: 324,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412 : 145,628 = 145,628 : x
  2. Step 2: Convert to fraction form
    65,412/145,628 = 145,628/x
  3. Step 3: Cross multiply
    65,412x = 145,628 × 145,628
  4. Step 4: Simplify right side
    65,412x = 21,207,514,384
  5. Step 5: Solve for x
    x = 21,207,514,384/65,412
  6. Step 6: Final answer
    x = 324,214.43

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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.