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Finding the Third Proportional to 65,690 and 145,420

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Solution

The third proportional to 65,690 and 145,420 is: 321,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690 : 145,420 = 145,420 : x
  2. Step 2: Convert to fraction form
    65,690/145,420 = 145,420/x
  3. Step 3: Cross multiply
    65,690x = 145,420 × 145,420
  4. Step 4: Simplify right side
    65,690x = 21,146,976,400
  5. Step 5: Solve for x
    x = 21,146,976,400/65,690
  6. Step 6: Final answer
    x = 321,920.79

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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.