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Finding the Third Proportional to 70,711 and 154,129

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Solution

The third proportional to 70,711 and 154,129 is: 335,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711 : 154,129 = 154,129 : x
  2. Step 2: Convert to fraction form
    70,711/154,129 = 154,129/x
  3. Step 3: Cross multiply
    70,711x = 154,129 × 154,129
  4. Step 4: Simplify right side
    70,711x = 23,755,748,641
  5. Step 5: Solve for x
    x = 23,755,748,641/70,711
  6. Step 6: Final answer
    x = 335,955.49

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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.