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Finding the Third Proportional to 81,910 and 128,515

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Solution

The third proportional to 81,910 and 128,515 is: 201,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910 : 128,515 = 128,515 : x
  2. Step 2: Convert to fraction form
    81,910/128,515 = 128,515/x
  3. Step 3: Cross multiply
    81,910x = 128,515 × 128,515
  4. Step 4: Simplify right side
    81,910x = 16,516,105,225
  5. Step 5: Solve for x
    x = 16,516,105,225/81,910
  6. Step 6: Final answer
    x = 201,637.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.