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Finding the Third Proportional to 105,910 and 163,841

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Solution

The third proportional to 105,910 and 163,841 is: 253,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,910 : 163,841 = 163,841 : x
  2. Step 2: Convert to fraction form
    105,910/163,841 = 163,841/x
  3. Step 3: Cross multiply
    105,910x = 163,841 × 163,841
  4. Step 4: Simplify right side
    105,910x = 26,843,873,281
  5. Step 5: Solve for x
    x = 26,843,873,281/105,910
  6. Step 6: Final answer
    x = 253,459.29

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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.