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Finding the Third Proportional to 106,780 and 163,788

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Solution

The third proportional to 106,780 and 163,788 is: 251,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,780 : 163,788 = 163,788 : x
  2. Step 2: Convert to fraction form
    106,780/163,788 = 163,788/x
  3. Step 3: Cross multiply
    106,780x = 163,788 × 163,788
  4. Step 4: Simplify right side
    106,780x = 26,826,508,944
  5. Step 5: Solve for x
    x = 26,826,508,944/106,780
  6. Step 6: Final answer
    x = 251,231.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.