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Finding the Third Proportional to 70,871 and 154,195

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Solution

The third proportional to 70,871 and 154,195 is: 335,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,871 : 154,195 = 154,195 : x
  2. Step 2: Convert to fraction form
    70,871/154,195 = 154,195/x
  3. Step 3: Cross multiply
    70,871x = 154,195 × 154,195
  4. Step 4: Simplify right side
    70,871x = 23,776,098,025
  5. Step 5: Solve for x
    x = 23,776,098,025/70,871
  6. Step 6: Final answer
    x = 335,484.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.