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Finding the Third Proportional to 156,800 and 236,640

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Solution

The third proportional to 156,800 and 236,640 is: 357,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,800 : 236,640 = 236,640 : x
  2. Step 2: Convert to fraction form
    156,800/236,640 = 236,640/x
  3. Step 3: Cross multiply
    156,800x = 236,640 × 236,640
  4. Step 4: Simplify right side
    156,800x = 55,998,489,600
  5. Step 5: Solve for x
    x = 55,998,489,600/156,800
  6. Step 6: Final answer
    x = 357,133.22

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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.