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Finding the Third Proportional to 137,680 and 183,745

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Solution

The third proportional to 137,680 and 183,745 is: 245,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,680 : 183,745 = 183,745 : x
  2. Step 2: Convert to fraction form
    137,680/183,745 = 183,745/x
  3. Step 3: Cross multiply
    137,680x = 183,745 × 183,745
  4. Step 4: Simplify right side
    137,680x = 33,762,225,025
  5. Step 5: Solve for x
    x = 33,762,225,025/137,680
  6. Step 6: Final answer
    x = 245,222.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.