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Finding the Third Proportional to 122,568 and 173,440

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Solution

The third proportional to 122,568 and 173,440 is: 245,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,568 : 173,440 = 173,440 : x
  2. Step 2: Convert to fraction form
    122,568/173,440 = 173,440/x
  3. Step 3: Cross multiply
    122,568x = 173,440 × 173,440
  4. Step 4: Simplify right side
    122,568x = 30,081,433,600
  5. Step 5: Solve for x
    x = 30,081,433,600/122,568
  6. Step 6: Final answer
    x = 245,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.