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Finding the Third Proportional to 101,105 and 145,643

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Solution

The third proportional to 101,105 and 145,643 is: 209,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,105 : 145,643 = 145,643 : x
  2. Step 2: Convert to fraction form
    101,105/145,643 = 145,643/x
  3. Step 3: Cross multiply
    101,105x = 145,643 × 145,643
  4. Step 4: Simplify right side
    101,105x = 21,211,883,449
  5. Step 5: Solve for x
    x = 21,211,883,449/101,105
  6. Step 6: Final answer
    x = 209,800.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.