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Finding the Third Proportional to 71,438 and 154,156

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Solution

The third proportional to 71,438 and 154,156 is: 332,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438 : 154,156 = 154,156 : x
  2. Step 2: Convert to fraction form
    71,438/154,156 = 154,156/x
  3. Step 3: Cross multiply
    71,438x = 154,156 × 154,156
  4. Step 4: Simplify right side
    71,438x = 23,764,072,336
  5. Step 5: Solve for x
    x = 23,764,072,336/71,438
  6. Step 6: Final answer
    x = 332,653.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.