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Finding the Third Proportional to 133,600 and 205,440

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Solution

The third proportional to 133,600 and 205,440 is: 315,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,600 : 205,440 = 205,440 : x
  2. Step 2: Convert to fraction form
    133,600/205,440 = 205,440/x
  3. Step 3: Cross multiply
    133,600x = 205,440 × 205,440
  4. Step 4: Simplify right side
    133,600x = 42,205,593,600
  5. Step 5: Solve for x
    x = 42,205,593,600/133,600
  6. Step 6: Final answer
    x = 315,910.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.