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Finding the Third Proportional to 81,908 and 120,156

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Solution

The third proportional to 81,908 and 120,156 is: 176,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,908 : 120,156 = 120,156 : x
  2. Step 2: Convert to fraction form
    81,908/120,156 = 120,156/x
  3. Step 3: Cross multiply
    81,908x = 120,156 × 120,156
  4. Step 4: Simplify right side
    81,908x = 14,437,464,336
  5. Step 5: Solve for x
    x = 14,437,464,336/81,908
  6. Step 6: Final answer
    x = 176,264.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.