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Finding the Third Proportional to 79,791 and 121,415

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Solution

The third proportional to 79,791 and 121,415 is: 184,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,791 : 121,415 = 121,415 : x
  2. Step 2: Convert to fraction form
    79,791/121,415 = 121,415/x
  3. Step 3: Cross multiply
    79,791x = 121,415 × 121,415
  4. Step 4: Simplify right side
    79,791x = 14,741,602,225
  5. Step 5: Solve for x
    x = 14,741,602,225/79,791
  6. Step 6: Final answer
    x = 184,752.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.