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Finding the Third Proportional to 103,600 and 156,800

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Solution

The third proportional to 103,600 and 156,800 is: 237,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,600 : 156,800 = 156,800 : x
  2. Step 2: Convert to fraction form
    103,600/156,800 = 156,800/x
  3. Step 3: Cross multiply
    103,600x = 156,800 × 156,800
  4. Step 4: Simplify right side
    103,600x = 24,586,240,000
  5. Step 5: Solve for x
    x = 24,586,240,000/103,600
  6. Step 6: Final answer
    x = 237,318.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.