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Finding the Third Proportional to 65,420 and 145,642

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Solution

The third proportional to 65,420 and 145,642 is: 324,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420 : 145,642 = 145,642 : x
  2. Step 2: Convert to fraction form
    65,420/145,642 = 145,642/x
  3. Step 3: Cross multiply
    65,420x = 145,642 × 145,642
  4. Step 4: Simplify right side
    65,420x = 21,211,592,164
  5. Step 5: Solve for x
    x = 21,211,592,164/65,420
  6. Step 6: Final answer
    x = 324,237.12

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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.