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Finding the Third Proportional to 106,946 and 122,498

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Solution

The third proportional to 106,946 and 122,498 is: 140,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,946 : 122,498 = 122,498 : x
  2. Step 2: Convert to fraction form
    106,946/122,498 = 122,498/x
  3. Step 3: Cross multiply
    106,946x = 122,498 × 122,498
  4. Step 4: Simplify right side
    106,946x = 15,005,760,004
  5. Step 5: Solve for x
    x = 15,005,760,004/106,946
  6. Step 6: Final answer
    x = 140,311.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.