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Finding the Third Proportional to 105,890 and 164,643

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Solution

The third proportional to 105,890 and 164,643 is: 255,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890 : 164,643 = 164,643 : x
  2. Step 2: Convert to fraction form
    105,890/164,643 = 164,643/x
  3. Step 3: Cross multiply
    105,890x = 164,643 × 164,643
  4. Step 4: Simplify right side
    105,890x = 27,107,317,449
  5. Step 5: Solve for x
    x = 27,107,317,449/105,890
  6. Step 6: Final answer
    x = 255,995.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.