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Finding the Third Proportional to 122,558 and 173,426

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Solution

The third proportional to 122,558 and 173,426 is: 245,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,558 : 173,426 = 173,426 : x
  2. Step 2: Convert to fraction form
    122,558/173,426 = 173,426/x
  3. Step 3: Cross multiply
    122,558x = 173,426 × 173,426
  4. Step 4: Simplify right side
    122,558x = 30,076,577,476
  5. Step 5: Solve for x
    x = 30,076,577,476/122,558
  6. Step 6: Final answer
    x = 245,406.89

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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.