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Finding the Third Proportional to 79,659 and 122,274

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Solution

The third proportional to 79,659 and 122,274 is: 187,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,659 : 122,274 = 122,274 : x
  2. Step 2: Convert to fraction form
    79,659/122,274 = 122,274/x
  3. Step 3: Cross multiply
    79,659x = 122,274 × 122,274
  4. Step 4: Simplify right side
    79,659x = 14,950,931,076
  5. Step 5: Solve for x
    x = 14,950,931,076/79,659
  6. Step 6: Final answer
    x = 187,686.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.