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Finding the Third Proportional to 70,317 and 156,186

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Solution

The third proportional to 70,317 and 156,186 is: 346,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,317 : 156,186 = 156,186 : x
  2. Step 2: Convert to fraction form
    70,317/156,186 = 156,186/x
  3. Step 3: Cross multiply
    70,317x = 156,186 × 156,186
  4. Step 4: Simplify right side
    70,317x = 24,394,066,596
  5. Step 5: Solve for x
    x = 24,394,066,596/70,317
  6. Step 6: Final answer
    x = 346,915.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.