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Finding the Third Proportional to 122,490 and 262,474

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Solution

The third proportional to 122,490 and 262,474 is: 562,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,490 : 262,474 = 262,474 : x
  2. Step 2: Convert to fraction form
    122,490/262,474 = 262,474/x
  3. Step 3: Cross multiply
    122,490x = 262,474 × 262,474
  4. Step 4: Simplify right side
    122,490x = 68,892,600,676
  5. Step 5: Solve for x
    x = 68,892,600,676/122,490
  6. Step 6: Final answer
    x = 562,434.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.