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Finding the Third Proportional to 70,455 and 156,101

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Solution

The third proportional to 70,455 and 156,101 is: 345,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,455 : 156,101 = 156,101 : x
  2. Step 2: Convert to fraction form
    70,455/156,101 = 156,101/x
  3. Step 3: Cross multiply
    70,455x = 156,101 × 156,101
  4. Step 4: Simplify right side
    70,455x = 24,367,522,201
  5. Step 5: Solve for x
    x = 24,367,522,201/70,455
  6. Step 6: Final answer
    x = 345,859.37

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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.