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Finding the Third Proportional to 70,972 and 154,543

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Solution

The third proportional to 70,972 and 154,543 is: 336,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,972 : 154,543 = 154,543 : x
  2. Step 2: Convert to fraction form
    70,972/154,543 = 154,543/x
  3. Step 3: Cross multiply
    70,972x = 154,543 × 154,543
  4. Step 4: Simplify right side
    70,972x = 23,883,538,849
  5. Step 5: Solve for x
    x = 23,883,538,849/70,972
  6. Step 6: Final answer
    x = 336,520.58

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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.