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Finding the Third Proportional to 156,008 and 220,738

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Solution

The third proportional to 156,008 and 220,738 is: 312,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008 : 220,738 = 220,738 : x
  2. Step 2: Convert to fraction form
    156,008/220,738 = 220,738/x
  3. Step 3: Cross multiply
    156,008x = 220,738 × 220,738
  4. Step 4: Simplify right side
    156,008x = 48,725,264,644
  5. Step 5: Solve for x
    x = 48,725,264,644/156,008
  6. Step 6: Final answer
    x = 312,325.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.