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Finding the Third Proportional to 70,176 and 133,886

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Solution

The third proportional to 70,176 and 133,886 is: 255,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176 : 133,886 = 133,886 : x
  2. Step 2: Convert to fraction form
    70,176/133,886 = 133,886/x
  3. Step 3: Cross multiply
    70,176x = 133,886 × 133,886
  4. Step 4: Simplify right side
    70,176x = 17,925,460,996
  5. Step 5: Solve for x
    x = 17,925,460,996/70,176
  6. Step 6: Final answer
    x = 255,435.78

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.