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Finding the Third Proportional to 70,286 and 154,970

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Solution

The third proportional to 70,286 and 154,970 is: 341,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286 : 154,970 = 154,970 : x
  2. Step 2: Convert to fraction form
    70,286/154,970 = 154,970/x
  3. Step 3: Cross multiply
    70,286x = 154,970 × 154,970
  4. Step 4: Simplify right side
    70,286x = 24,015,700,900
  5. Step 5: Solve for x
    x = 24,015,700,900/70,286
  6. Step 6: Final answer
    x = 341,685.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.