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Finding the Third Proportional to 81,894 and 120,155

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Solution

The third proportional to 81,894 and 120,155 is: 176,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894 : 120,155 = 120,155 : x
  2. Step 2: Convert to fraction form
    81,894/120,155 = 120,155/x
  3. Step 3: Cross multiply
    81,894x = 120,155 × 120,155
  4. Step 4: Simplify right side
    81,894x = 14,437,224,025
  5. Step 5: Solve for x
    x = 14,437,224,025/81,894
  6. Step 6: Final answer
    x = 176,291.60

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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.