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Finding the Third Proportional to 133,608 and 205,448

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Solution

The third proportional to 133,608 and 205,448 is: 315,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,608 : 205,448 = 205,448 : x
  2. Step 2: Convert to fraction form
    133,608/205,448 = 205,448/x
  3. Step 3: Cross multiply
    133,608x = 205,448 × 205,448
  4. Step 4: Simplify right side
    133,608x = 42,208,880,704
  5. Step 5: Solve for x
    x = 42,208,880,704/133,608
  6. Step 6: Final answer
    x = 315,915.82

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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.