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Finding the Third Proportional to 70,680 and 163,494

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Solution

The third proportional to 70,680 and 163,494 is: 378,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,680 : 163,494 = 163,494 : x
  2. Step 2: Convert to fraction form
    70,680/163,494 = 163,494/x
  3. Step 3: Cross multiply
    70,680x = 163,494 × 163,494
  4. Step 4: Simplify right side
    70,680x = 26,730,288,036
  5. Step 5: Solve for x
    x = 26,730,288,036/70,680
  6. Step 6: Final answer
    x = 378,187.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.