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Finding the Third Proportional to 38,289 and 81,123

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Solution

The third proportional to 38,289 and 81,123 is: 171,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289 : 81,123 = 81,123 : x
  2. Step 2: Convert to fraction form
    38,289/81,123 = 81,123/x
  3. Step 3: Cross multiply
    38,289x = 81,123 × 81,123
  4. Step 4: Simplify right side
    38,289x = 6,580,941,129
  5. Step 5: Solve for x
    x = 6,580,941,129/38,289
  6. Step 6: Final answer
    x = 171,875.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.