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Finding the Third Proportional to 82,121 and 114,415

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Solution

The third proportional to 82,121 and 114,415 is: 159,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,121 : 114,415 = 114,415 : x
  2. Step 2: Convert to fraction form
    82,121/114,415 = 114,415/x
  3. Step 3: Cross multiply
    82,121x = 114,415 × 114,415
  4. Step 4: Simplify right side
    82,121x = 13,090,792,225
  5. Step 5: Solve for x
    x = 13,090,792,225/82,121
  6. Step 6: Final answer
    x = 159,408.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.