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Finding the Third Proportional to 122,940 and 250,392

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Solution

The third proportional to 122,940 and 250,392 is: 509,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940 : 250,392 = 250,392 : x
  2. Step 2: Convert to fraction form
    122,940/250,392 = 250,392/x
  3. Step 3: Cross multiply
    122,940x = 250,392 × 250,392
  4. Step 4: Simplify right side
    122,940x = 62,696,153,664
  5. Step 5: Solve for x
    x = 62,696,153,664/122,940
  6. Step 6: Final answer
    x = 509,973.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.