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Finding the Third Proportional to 65,419 and 145,640

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Solution

The third proportional to 65,419 and 145,640 is: 324,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419 : 145,640 = 145,640 : x
  2. Step 2: Convert to fraction form
    65,419/145,640 = 145,640/x
  3. Step 3: Cross multiply
    65,419x = 145,640 × 145,640
  4. Step 4: Simplify right side
    65,419x = 21,211,009,600
  5. Step 5: Solve for x
    x = 21,211,009,600/65,419
  6. Step 6: Final answer
    x = 324,233.17

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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.