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Finding the Third Proportional to 163,758 and 210,645

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Solution

The third proportional to 163,758 and 210,645 is: 270,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,758 : 210,645 = 210,645 : x
  2. Step 2: Convert to fraction form
    163,758/210,645 = 210,645/x
  3. Step 3: Cross multiply
    163,758x = 210,645 × 210,645
  4. Step 4: Simplify right side
    163,758x = 44,371,316,025
  5. Step 5: Solve for x
    x = 44,371,316,025/163,758
  6. Step 6: Final answer
    x = 270,956.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.