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Finding the Third Proportional to 156,630 and 235,679

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Solution

The third proportional to 156,630 and 235,679 is: 354,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,630 : 235,679 = 235,679 : x
  2. Step 2: Convert to fraction form
    156,630/235,679 = 235,679/x
  3. Step 3: Cross multiply
    156,630x = 235,679 × 235,679
  4. Step 4: Simplify right side
    156,630x = 55,544,591,041
  5. Step 5: Solve for x
    x = 55,544,591,041/156,630
  6. Step 6: Final answer
    x = 354,622.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.