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Finding the Third Proportional to 163,736 and 252,840

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Solution

The third proportional to 163,736 and 252,840 is: 390,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,736 : 252,840 = 252,840 : x
  2. Step 2: Convert to fraction form
    163,736/252,840 = 252,840/x
  3. Step 3: Cross multiply
    163,736x = 252,840 × 252,840
  4. Step 4: Simplify right side
    163,736x = 63,928,065,600
  5. Step 5: Solve for x
    x = 63,928,065,600/163,736
  6. Step 6: Final answer
    x = 390,433.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.