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Finding the Third Proportional to 156,124 and 246,980

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Solution

The third proportional to 156,124 and 246,980 is: 390,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,124 : 246,980 = 246,980 : x
  2. Step 2: Convert to fraction form
    156,124/246,980 = 246,980/x
  3. Step 3: Cross multiply
    156,124x = 246,980 × 246,980
  4. Step 4: Simplify right side
    156,124x = 60,999,120,400
  5. Step 5: Solve for x
    x = 60,999,120,400/156,124
  6. Step 6: Final answer
    x = 390,709.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.