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Finding the Third Proportional to 77,574 and 120,105

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Solution

The third proportional to 77,574 and 120,105 is: 185,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574 : 120,105 = 120,105 : x
  2. Step 2: Convert to fraction form
    77,574/120,105 = 120,105/x
  3. Step 3: Cross multiply
    77,574x = 120,105 × 120,105
  4. Step 4: Simplify right side
    77,574x = 14,425,211,025
  5. Step 5: Solve for x
    x = 14,425,211,025/77,574
  6. Step 6: Final answer
    x = 185,954.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.