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Finding the Third Proportional to 81,035 and 128,214

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Solution

The third proportional to 81,035 and 128,214 is: 202,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,035 : 128,214 = 128,214 : x
  2. Step 2: Convert to fraction form
    81,035/128,214 = 128,214/x
  3. Step 3: Cross multiply
    81,035x = 128,214 × 128,214
  4. Step 4: Simplify right side
    81,035x = 16,438,829,796
  5. Step 5: Solve for x
    x = 16,438,829,796/81,035
  6. Step 6: Final answer
    x = 202,860.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.